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Finding the Fourth Proportional to 438,309.84, 657,540 and 138,785.52

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Solution

The fourth proportional to 438,309.84, 657,540 and 138,785.52 is: 208,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,309.84 : 657,540 = 138,785.52 : x
  2. Step 2: Convert to fraction form
    438,309.84/657,540 = 138,785.52/x
  3. Step 3: Cross multiply
    438,309.84x = 657,540 × 138,785.52
  4. Step 4: Simplify right side
    438,309.84x = 91,257,030,820.80
  5. Step 5: Solve for x
    x = 91,257,030,820.80/438,309.84
  6. Step 6: Final answer
    x = 208,202.10

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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.