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Finding the Fourth Proportional to 416,634.60, 624,077.10 and 346,650.60

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Solution

The fourth proportional to 416,634.60, 624,077.10 and 346,650.60 is: 519,248.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,634.60 : 624,077.10 = 346,650.60 : x
  2. Step 2: Convert to fraction form
    416,634.60/624,077.10 = 346,650.60/x
  3. Step 3: Cross multiply
    416,634.60x = 624,077.10 × 346,650.60
  4. Step 4: Simplify right side
    416,634.60x = 216,336,701,161.26
  5. Step 5: Solve for x
    x = 216,336,701,161.26/416,634.60
  6. Step 6: Final answer
    x = 519,248.04

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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.