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Finding the Fourth Proportional to 516,201.74, 712,378.62 and 353,200.16

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Solution

The fourth proportional to 516,201.74, 712,378.62 and 353,200.16 is: 487,430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,201.74 : 712,378.62 = 353,200.16 : x
  2. Step 2: Convert to fraction form
    516,201.74/712,378.62 = 353,200.16/x
  3. Step 3: Cross multiply
    516,201.74x = 712,378.62 × 353,200.16
  4. Step 4: Simplify right side
    516,201.74x = 251,612,242,564.58
  5. Step 5: Solve for x
    x = 251,612,242,564.58/516,201.74
  6. Step 6: Final answer
    x = 487,430.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.