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Finding the Fourth Proportional to 652,123.20, 978,184.80 and 428,174.40

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Solution

The fourth proportional to 652,123.20, 978,184.80 and 428,174.40 is: 642,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,123.20 : 978,184.80 = 428,174.40 : x
  2. Step 2: Convert to fraction form
    652,123.20/978,184.80 = 428,174.40/x
  3. Step 3: Cross multiply
    652,123.20x = 978,184.80 × 428,174.40
  4. Step 4: Simplify right side
    652,123.20x = 418,833,689,829.12
  5. Step 5: Solve for x
    x = 418,833,689,829.12/652,123.20
  6. Step 6: Final answer
    x = 642,261.60

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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.