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Finding the Fourth Proportional to 416,663.07, 625,031.51 and 117,146.25

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Solution

The fourth proportional to 416,663.07, 625,031.51 and 117,146.25 is: 175,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,663.07 : 625,031.51 = 117,146.25 : x
  2. Step 2: Convert to fraction form
    416,663.07/625,031.51 = 117,146.25/x
  3. Step 3: Cross multiply
    416,663.07x = 625,031.51 × 117,146.25
  4. Step 4: Simplify right side
    416,663.07x = 73,220,094,403.18
  5. Step 5: Solve for x
    x = 73,220,094,403.18/416,663.07
  6. Step 6: Final answer
    x = 175,729.75

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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.