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Finding the Fourth Proportional to 383,747.70, 575,622.95 and 117,507.14

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Solution

The fourth proportional to 383,747.70, 575,622.95 and 117,507.14 is: 176,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,747.70 : 575,622.95 = 117,507.14 : x
  2. Step 2: Convert to fraction form
    383,747.70/575,622.95 = 117,507.14/x
  3. Step 3: Cross multiply
    383,747.70x = 575,622.95 × 117,507.14
  4. Step 4: Simplify right side
    383,747.70x = 67,639,806,572.86
  5. Step 5: Solve for x
    x = 67,639,806,572.86/383,747.70
  6. Step 6: Final answer
    x = 176,261.14

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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.