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Finding the Fourth Proportional to 357,354.28, 535,917.74 and 117,412.87

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Solution

The fourth proportional to 357,354.28, 535,917.74 and 117,412.87 is: 176,081.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,354.28 : 535,917.74 = 117,412.87 : x
  2. Step 2: Convert to fraction form
    357,354.28/535,917.74 = 117,412.87/x
  3. Step 3: Cross multiply
    357,354.28x = 535,917.74 × 117,412.87
  4. Step 4: Simplify right side
    357,354.28x = 62,923,639,937.31
  5. Step 5: Solve for x
    x = 62,923,639,937.31/357,354.28
  6. Step 6: Final answer
    x = 176,081.95

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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.