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Finding the Fourth Proportional to 477,514.03, 716,193.17 and 140,475.85

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Solution

The fourth proportional to 477,514.03, 716,193.17 and 140,475.85 is: 210,690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,514.03 : 716,193.17 = 140,475.85 : x
  2. Step 2: Convert to fraction form
    477,514.03/716,193.17 = 140,475.85/x
  3. Step 3: Cross multiply
    477,514.03x = 716,193.17 × 140,475.85
  4. Step 4: Simplify right side
    477,514.03x = 100,607,840,036.60
  5. Step 5: Solve for x
    x = 100,607,840,036.60/477,514.03
  6. Step 6: Final answer
    x = 210,690.86

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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.