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Finding the Fourth Proportional to 405,127.60, 607,691.40 and 286,932.40

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Solution

The fourth proportional to 405,127.60, 607,691.40 and 286,932.40 is: 430,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,127.60 : 607,691.40 = 286,932.40 : x
  2. Step 2: Convert to fraction form
    405,127.60/607,691.40 = 286,932.40/x
  3. Step 3: Cross multiply
    405,127.60x = 607,691.40 × 286,932.40
  4. Step 4: Simplify right side
    405,127.60x = 174,366,351,861.36
  5. Step 5: Solve for x
    x = 174,366,351,861.36/405,127.60
  6. Step 6: Final answer
    x = 430,398.60

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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.