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Finding the Fourth Proportional to 416,026.80, 624,057.48 and 346,397.04

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Solution

The fourth proportional to 416,026.80, 624,057.48 and 346,397.04 is: 519,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,026.80 : 624,057.48 = 346,397.04 : x
  2. Step 2: Convert to fraction form
    416,026.80/624,057.48 = 346,397.04/x
  3. Step 3: Cross multiply
    416,026.80x = 624,057.48 × 346,397.04
  4. Step 4: Simplify right side
    416,026.80x = 216,171,663,861.86
  5. Step 5: Solve for x
    x = 216,171,663,861.86/416,026.80
  6. Step 6: Final answer
    x = 519,609.95

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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.