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Finding the Fourth Proportional to 417,696.40, 626,544.60 and 102,149.20

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Solution

The fourth proportional to 417,696.40, 626,544.60 and 102,149.20 is: 153,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,696.40 : 626,544.60 = 102,149.20 : x
  2. Step 2: Convert to fraction form
    417,696.40/626,544.60 = 102,149.20/x
  3. Step 3: Cross multiply
    417,696.40x = 626,544.60 × 102,149.20
  4. Step 4: Simplify right side
    417,696.40x = 64,001,029,654.32
  5. Step 5: Solve for x
    x = 64,001,029,654.32/417,696.40
  6. Step 6: Final answer
    x = 153,223.80

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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.