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Finding the Fourth Proportional to 416,046.60, 623,195.10 and 346,062.60

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Solution

The fourth proportional to 416,046.60, 623,195.10 and 346,062.60 is: 518,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,046.60 : 623,195.10 = 346,062.60 : x
  2. Step 2: Convert to fraction form
    416,046.60/623,195.10 = 346,062.60/x
  3. Step 3: Cross multiply
    416,046.60x = 623,195.10 × 346,062.60
  4. Step 4: Simplify right side
    416,046.60x = 215,664,516,613.26
  5. Step 5: Solve for x
    x = 215,664,516,613.26/416,046.60
  6. Step 6: Final answer
    x = 518,366.25

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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.