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Finding the Fourth Proportional to 602,447.54, 903,656.39 and 147,042.14

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Solution

The fourth proportional to 602,447.54, 903,656.39 and 147,042.14 is: 220,559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,447.54 : 903,656.39 = 147,042.14 : x
  2. Step 2: Convert to fraction form
    602,447.54/903,656.39 = 147,042.14/x
  3. Step 3: Cross multiply
    602,447.54x = 903,656.39 × 147,042.14
  4. Step 4: Simplify right side
    602,447.54x = 132,875,564,156.78
  5. Step 5: Solve for x
    x = 132,875,564,156.78/602,447.54
  6. Step 6: Final answer
    x = 220,559.56

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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.