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Finding the Fourth Proportional to 364,724.32, 547,080.80 and 187,128.84

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Solution

The fourth proportional to 364,724.32, 547,080.80 and 187,128.84 is: 280,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,724.32 : 547,080.80 = 187,128.84 : x
  2. Step 2: Convert to fraction form
    364,724.32/547,080.80 = 187,128.84/x
  3. Step 3: Cross multiply
    364,724.32x = 547,080.80 × 187,128.84
  4. Step 4: Simplify right side
    364,724.32x = 102,374,595,490.27
  5. Step 5: Solve for x
    x = 102,374,595,490.27/364,724.32
  6. Step 6: Final answer
    x = 280,690.35

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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.