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Finding the Fourth Proportional to 410,061.60, 565,045.14 and 302,461.20

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Solution

The fourth proportional to 410,061.60, 565,045.14 and 302,461.20 is: 416,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,061.60 : 565,045.14 = 302,461.20 : x
  2. Step 2: Convert to fraction form
    410,061.60/565,045.14 = 302,461.20/x
  3. Step 3: Cross multiply
    410,061.60x = 565,045.14 × 302,461.20
  4. Step 4: Simplify right side
    410,061.60x = 170,904,231,098.57
  5. Step 5: Solve for x
    x = 170,904,231,098.57/410,061.60
  6. Step 6: Final answer
    x = 416,776.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.