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Finding the Fourth Proportional to 416,076.60, 623,240.10 and 346,092.60

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Solution

The fourth proportional to 416,076.60, 623,240.10 and 346,092.60 is: 518,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,076.60 : 623,240.10 = 346,092.60 : x
  2. Step 2: Convert to fraction form
    416,076.60/623,240.10 = 346,092.60/x
  3. Step 3: Cross multiply
    416,076.60x = 623,240.10 × 346,092.60
  4. Step 4: Simplify right side
    416,076.60x = 215,698,786,633.26
  5. Step 5: Solve for x
    x = 215,698,786,633.26/416,076.60
  6. Step 6: Final answer
    x = 518,411.24

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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.