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Finding the Fourth Proportional to 292,656.17, 438,984.41 and 82,294.11

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Solution

The fourth proportional to 292,656.17, 438,984.41 and 82,294.11 is: 123,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,656.17 : 438,984.41 = 82,294.11 : x
  2. Step 2: Convert to fraction form
    292,656.17/438,984.41 = 82,294.11/x
  3. Step 3: Cross multiply
    292,656.17x = 438,984.41 × 82,294.11
  4. Step 4: Simplify right side
    292,656.17x = 36,125,830,913.35
  5. Step 5: Solve for x
    x = 36,125,830,913.35/292,656.17
  6. Step 6: Final answer
    x = 123,441.21

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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.