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Finding the Fourth Proportional to 410,199.72, 615,295.94 and 143,897.85

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Solution

The fourth proportional to 410,199.72, 615,295.94 and 143,897.85 is: 215,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,199.72 : 615,295.94 = 143,897.85 : x
  2. Step 2: Convert to fraction form
    410,199.72/615,295.94 = 143,897.85/x
  3. Step 3: Cross multiply
    410,199.72x = 615,295.94 × 143,897.85
  4. Step 4: Simplify right side
    410,199.72x = 88,539,762,160.24
  5. Step 5: Solve for x
    x = 88,539,762,160.24/410,199.72
  6. Step 6: Final answer
    x = 215,845.50

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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.