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Finding the Fourth Proportional to 292,698.17, 439,013.72 and 76,577.77

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Solution

The fourth proportional to 292,698.17, 439,013.72 and 76,577.77 is: 114,857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,698.17 : 439,013.72 = 76,577.77 : x
  2. Step 2: Convert to fraction form
    292,698.17/439,013.72 = 76,577.77/x
  3. Step 3: Cross multiply
    292,698.17x = 439,013.72 × 76,577.77
  4. Step 4: Simplify right side
    292,698.17x = 33,618,689,517.01
  5. Step 5: Solve for x
    x = 33,618,689,517.01/292,698.17
  6. Step 6: Final answer
    x = 114,857.87

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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.