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Finding the Fourth Proportional to 438,322.62, 657,089.19 and 157,642.50

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Solution

The fourth proportional to 438,322.62, 657,089.19 and 157,642.50 is: 236,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,322.62 : 657,089.19 = 157,642.50 : x
  2. Step 2: Convert to fraction form
    438,322.62/657,089.19 = 157,642.50/x
  3. Step 3: Cross multiply
    438,322.62x = 657,089.19 × 157,642.50
  4. Step 4: Simplify right side
    438,322.62x = 103,585,182,634.58
  5. Step 5: Solve for x
    x = 103,585,182,634.58/438,322.62
  6. Step 6: Final answer
    x = 236,321.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.