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Finding the Fourth Proportional to 416,640.60, 624,086.10 and 346,656.60

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Solution

The fourth proportional to 416,640.60, 624,086.10 and 346,656.60 is: 519,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,640.60 : 624,086.10 = 346,656.60 : x
  2. Step 2: Convert to fraction form
    416,640.60/624,086.10 = 346,656.60/x
  3. Step 3: Cross multiply
    416,640.60x = 624,086.10 × 346,656.60
  4. Step 4: Simplify right side
    416,640.60x = 216,343,565,533.26
  5. Step 5: Solve for x
    x = 216,343,565,533.26/416,640.60
  6. Step 6: Final answer
    x = 519,257.04

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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.