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Finding the Fourth Proportional to 477,248.58, 715,873.05 and 140,289.24

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Solution

The fourth proportional to 477,248.58, 715,873.05 and 140,289.24 is: 210,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,248.58 : 715,873.05 = 140,289.24 : x
  2. Step 2: Convert to fraction form
    477,248.58/715,873.05 = 140,289.24/x
  3. Step 3: Cross multiply
    477,248.58x = 715,873.05 × 140,289.24
  4. Step 4: Simplify right side
    477,248.58x = 100,429,286,120.98
  5. Step 5: Solve for x
    x = 100,429,286,120.98/477,248.58
  6. Step 6: Final answer
    x = 210,433.91

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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.