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Finding the Fourth Proportional to 416,748.40, 625,125.70 and 117,259.27

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Solution

The fourth proportional to 416,748.40, 625,125.70 and 117,259.27 is: 175,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,748.40 : 625,125.70 = 117,259.27 : x
  2. Step 2: Convert to fraction form
    416,748.40/625,125.70 = 117,259.27/x
  3. Step 3: Cross multiply
    416,748.40x = 625,125.70 × 117,259.27
  4. Step 4: Simplify right side
    416,748.40x = 73,301,781,824.00
  5. Step 5: Solve for x
    x = 73,301,781,824.00/416,748.40
  6. Step 6: Final answer
    x = 175,889.77

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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.