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Finding the Fourth Proportional to 509,987.70, 764,981.55 and 421,341.30

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Solution

The fourth proportional to 509,987.70, 764,981.55 and 421,341.30 is: 632,011.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,987.70 : 764,981.55 = 421,341.30 : x
  2. Step 2: Convert to fraction form
    509,987.70/764,981.55 = 421,341.30/x
  3. Step 3: Cross multiply
    509,987.70x = 764,981.55 × 421,341.30
  4. Step 4: Simplify right side
    509,987.70x = 322,318,320,753.02
  5. Step 5: Solve for x
    x = 322,318,320,753.02/509,987.70
  6. Step 6: Final answer
    x = 632,011.95

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.