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Finding the Fourth Proportional to 242,041.58, 363,000.71 and 171,625.65

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Solution

The fourth proportional to 242,041.58, 363,000.71 and 171,625.65 is: 257,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,041.58 : 363,000.71 = 171,625.65 : x
  2. Step 2: Convert to fraction form
    242,041.58/363,000.71 = 171,625.65/x
  3. Step 3: Cross multiply
    242,041.58x = 363,000.71 × 171,625.65
  4. Step 4: Simplify right side
    242,041.58x = 62,300,233,233.28
  5. Step 5: Solve for x
    x = 62,300,233,233.28/242,041.58
  6. Step 6: Final answer
    x = 257,394.75

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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.