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Finding the Fourth Proportional to 520,047.70, 780,071.55 and 295,321.30

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Solution

The fourth proportional to 520,047.70, 780,071.55 and 295,321.30 is: 442,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,047.70 : 780,071.55 = 295,321.30 : x
  2. Step 2: Convert to fraction form
    520,047.70/780,071.55 = 295,321.30/x
  3. Step 3: Cross multiply
    520,047.70x = 780,071.55 × 295,321.30
  4. Step 4: Simplify right side
    520,047.70x = 230,371,744,239.02
  5. Step 5: Solve for x
    x = 230,371,744,239.02/520,047.70
  6. Step 6: Final answer
    x = 442,981.95

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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.