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Finding the Fourth Proportional to 477,506.66, 716,182.12 and 140,468.47

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Solution

The fourth proportional to 477,506.66, 716,182.12 and 140,468.47 is: 210,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,506.66 : 716,182.12 = 140,468.47 : x
  2. Step 2: Convert to fraction form
    477,506.66/716,182.12 = 140,468.47/x
  3. Step 3: Cross multiply
    477,506.66x = 716,182.12 × 140,468.47
  4. Step 4: Simplify right side
    477,506.66x = 100,601,002,354.50
  5. Step 5: Solve for x
    x = 100,601,002,354.50/477,506.66
  6. Step 6: Final answer
    x = 210,679.79

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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.