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Finding the Fourth Proportional to 477,446.30, 716,169.63 and 117,624.15

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Solution

The fourth proportional to 477,446.30, 716,169.63 and 117,624.15 is: 176,436.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,446.30 : 716,169.63 = 117,624.15 : x
  2. Step 2: Convert to fraction form
    477,446.30/716,169.63 = 117,624.15/x
  3. Step 3: Cross multiply
    477,446.30x = 716,169.63 × 117,624.15
  4. Step 4: Simplify right side
    477,446.30x = 84,238,844,425.66
  5. Step 5: Solve for x
    x = 84,238,844,425.66/477,446.30
  6. Step 6: Final answer
    x = 176,436.27

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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.