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Finding the Fourth Proportional to 730,495.31, 1,008,064.17 and 408,208.05

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Solution

The fourth proportional to 730,495.31, 1,008,064.17 and 408,208.05 is: 563,316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,495.31 : 1,008,064.17 = 408,208.05 : x
  2. Step 2: Convert to fraction form
    730,495.31/1,008,064.17 = 408,208.05/x
  3. Step 3: Cross multiply
    730,495.31x = 1,008,064.17 × 408,208.05
  4. Step 4: Simplify right side
    730,495.31x = 411,499,909,110.57
  5. Step 5: Solve for x
    x = 411,499,909,110.57/730,495.31
  6. Step 6: Final answer
    x = 563,316.30

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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.