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Finding the Fourth Proportional to 516,207.90, 712,168.11 and 380,564.31

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Solution

The fourth proportional to 516,207.90, 712,168.11 and 380,564.31 is: 525,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,207.90 : 712,168.11 = 380,564.31 : x
  2. Step 2: Convert to fraction form
    516,207.90/712,168.11 = 380,564.31/x
  3. Step 3: Cross multiply
    516,207.90x = 712,168.11 × 380,564.31
  4. Step 4: Simplify right side
    516,207.90x = 271,025,765,386.15
  5. Step 5: Solve for x
    x = 271,025,765,386.15/516,207.90
  6. Step 6: Final answer
    x = 525,032.19

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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.