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Finding the Fourth Proportional to 438,148.80, 657,223.20 and 188,830.80

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Solution

The fourth proportional to 438,148.80, 657,223.20 and 188,830.80 is: 283,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,148.80 : 657,223.20 = 188,830.80 : x
  2. Step 2: Convert to fraction form
    438,148.80/657,223.20 = 188,830.80/x
  3. Step 3: Cross multiply
    438,148.80x = 657,223.20 × 188,830.80
  4. Step 4: Simplify right side
    438,148.80x = 124,103,982,634.56
  5. Step 5: Solve for x
    x = 124,103,982,634.56/438,148.80
  6. Step 6: Final answer
    x = 283,246.20

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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.