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Finding the Fourth Proportional to 242,427.90, 363,641.85 and 171,569.10

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Solution

The fourth proportional to 242,427.90, 363,641.85 and 171,569.10 is: 257,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,427.90 : 363,641.85 = 171,569.10 : x
  2. Step 2: Convert to fraction form
    242,427.90/363,641.85 = 171,569.10/x
  3. Step 3: Cross multiply
    242,427.90x = 363,641.85 × 171,569.10
  4. Step 4: Simplify right side
    242,427.90x = 62,389,704,926.84
  5. Step 5: Solve for x
    x = 62,389,704,926.84/242,427.90
  6. Step 6: Final answer
    x = 257,353.65

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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.