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Finding the Fourth Proportional to 429,024.60, 643,395.15 and 144,638.46

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Solution

The fourth proportional to 429,024.60, 643,395.15 and 144,638.46 is: 216,909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,024.60 : 643,395.15 = 144,638.46 : x
  2. Step 2: Convert to fraction form
    429,024.60/643,395.15 = 144,638.46/x
  3. Step 3: Cross multiply
    429,024.60x = 643,395.15 × 144,638.46
  4. Step 4: Simplify right side
    429,024.60x = 93,059,683,667.47
  5. Step 5: Solve for x
    x = 93,059,683,667.47/429,024.60
  6. Step 6: Final answer
    x = 216,909.90

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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.