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Finding the Fourth Proportional to 460,494.30, 635,501.75 and 256,545.11

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Solution

The fourth proportional to 460,494.30, 635,501.75 and 256,545.11 is: 354,043.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,494.30 : 635,501.75 = 256,545.11 : x
  2. Step 2: Convert to fraction form
    460,494.30/635,501.75 = 256,545.11/x
  3. Step 3: Cross multiply
    460,494.30x = 635,501.75 × 256,545.11
  4. Step 4: Simplify right side
    460,494.30x = 163,034,861,898.71
  5. Step 5: Solve for x
    x = 163,034,861,898.71/460,494.30
  6. Step 6: Final answer
    x = 354,043.17

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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.