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Finding the Fourth Proportional to 477,903.64, 716,854.47 and 141,180.73

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Solution

The fourth proportional to 477,903.64, 716,854.47 and 141,180.73 is: 211,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,903.64 : 716,854.47 = 141,180.73 : x
  2. Step 2: Convert to fraction form
    477,903.64/716,854.47 = 141,180.73/x
  3. Step 3: Cross multiply
    477,903.64x = 716,854.47 × 141,180.73
  4. Step 4: Simplify right side
    477,903.64x = 101,206,036,658.77
  5. Step 5: Solve for x
    x = 101,206,036,658.77/477,903.64
  6. Step 6: Final answer
    x = 211,770.80

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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.