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Finding the Fourth Proportional to 438,344.88, 657,510.16 and 138,825

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Solution

The fourth proportional to 438,344.88, 657,510.16 and 138,825 is: 208,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,344.88 : 657,510.16 = 138,825 : x
  2. Step 2: Convert to fraction form
    438,344.88/657,510.16 = 138,825/x
  3. Step 3: Cross multiply
    438,344.88x = 657,510.16 × 138,825
  4. Step 4: Simplify right side
    438,344.88x = 91,278,847,962
  5. Step 5: Solve for x
    x = 91,278,847,962/438,344.88
  6. Step 6: Final answer
    x = 208,235.23

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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.