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Finding the Fourth Proportional to 477,207.59, 715,811.38 and 193,023.95

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Solution

The fourth proportional to 477,207.59, 715,811.38 and 193,023.95 is: 289,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,207.59 : 715,811.38 = 193,023.95 : x
  2. Step 2: Convert to fraction form
    477,207.59/715,811.38 = 193,023.95/x
  3. Step 3: Cross multiply
    477,207.59x = 715,811.38 × 193,023.95
  4. Step 4: Simplify right side
    477,207.59x = 138,168,735,960.93
  5. Step 5: Solve for x
    x = 138,168,735,960.93/477,207.59
  6. Step 6: Final answer
    x = 289,535.92

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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.