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Finding the Fourth Proportional to 748,549.68, 1,033,001.76 and 409,018

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Solution

The fourth proportional to 748,549.68, 1,033,001.76 and 409,018 is: 564,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,549.68 : 1,033,001.76 = 409,018 : x
  2. Step 2: Convert to fraction form
    748,549.68/1,033,001.76 = 409,018/x
  3. Step 3: Cross multiply
    748,549.68x = 1,033,001.76 × 409,018
  4. Step 4: Simplify right side
    748,549.68x = 422,516,313,871.68
  5. Step 5: Solve for x
    x = 422,516,313,871.68/748,549.68
  6. Step 6: Final answer
    x = 564,446.59

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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.