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Finding the Fourth Proportional to 416,838.48, 625,256.10 and 101,296.32

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Solution

The fourth proportional to 416,838.48, 625,256.10 and 101,296.32 is: 151,944.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,838.48 : 625,256.10 = 101,296.32 : x
  2. Step 2: Convert to fraction form
    416,838.48/625,256.10 = 101,296.32/x
  3. Step 3: Cross multiply
    416,838.48x = 625,256.10 × 101,296.32
  4. Step 4: Simplify right side
    416,838.48x = 63,336,141,987.55
  5. Step 5: Solve for x
    x = 63,336,141,987.55/416,838.48
  6. Step 6: Final answer
    x = 151,944.09

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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.