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Finding the Fourth Proportional to 292,560, 403,732.80 and 158,424

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Solution

The fourth proportional to 292,560, 403,732.80 and 158,424 is: 218,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,560 : 403,732.80 = 158,424 : x
  2. Step 2: Convert to fraction form
    292,560/403,732.80 = 158,424/x
  3. Step 3: Cross multiply
    292,560x = 403,732.80 × 158,424
  4. Step 4: Simplify right side
    292,560x = 63,960,965,107.20
  5. Step 5: Solve for x
    x = 63,960,965,107.20/292,560
  6. Step 6: Final answer
    x = 218,625.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.