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Finding the Fourth Proportional to 292,678.58, 438,966.84 and 82,266.50

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Solution

The fourth proportional to 292,678.58, 438,966.84 and 82,266.50 is: 123,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,678.58 : 438,966.84 = 82,266.50 : x
  2. Step 2: Convert to fraction form
    292,678.58/438,966.84 = 82,266.50/x
  3. Step 3: Cross multiply
    292,678.58x = 438,966.84 × 82,266.50
  4. Step 4: Simplify right side
    292,678.58x = 36,112,265,542.86
  5. Step 5: Solve for x
    x = 36,112,265,542.86/292,678.58
  6. Step 6: Final answer
    x = 123,385.41

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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.