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Finding the Fourth Proportional to 438,802.28, 658,228.92 and 123,283.82

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Solution

The fourth proportional to 438,802.28, 658,228.92 and 123,283.82 is: 184,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,802.28 : 658,228.92 = 123,283.82 : x
  2. Step 2: Convert to fraction form
    438,802.28/658,228.92 = 123,283.82/x
  3. Step 3: Cross multiply
    438,802.28x = 658,228.92 × 123,283.82
  4. Step 4: Simplify right side
    438,802.28x = 81,148,975,692.07
  5. Step 5: Solve for x
    x = 81,148,975,692.07/438,802.28
  6. Step 6: Final answer
    x = 184,932.89

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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.