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Finding the Fourth Proportional to 460,767.96, 635,516.28 and 409,147.47

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Solution

The fourth proportional to 460,767.96, 635,516.28 and 409,147.47 is: 564,318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,767.96 : 635,516.28 = 409,147.47 : x
  2. Step 2: Convert to fraction form
    460,767.96/635,516.28 = 409,147.47/x
  3. Step 3: Cross multiply
    460,767.96x = 635,516.28 × 409,147.47
  4. Step 4: Simplify right side
    460,767.96x = 260,019,878,105.81
  5. Step 5: Solve for x
    x = 260,019,878,105.81/460,767.96
  6. Step 6: Final answer
    x = 564,318.49

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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.