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Finding the Fourth Proportional to 407,816.70, 611,725.05 and 342,862.80

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Solution

The fourth proportional to 407,816.70, 611,725.05 and 342,862.80 is: 514,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,816.70 : 611,725.05 = 342,862.80 : x
  2. Step 2: Convert to fraction form
    407,816.70/611,725.05 = 342,862.80/x
  3. Step 3: Cross multiply
    407,816.70x = 611,725.05 × 342,862.80
  4. Step 4: Simplify right side
    407,816.70x = 209,737,763,473.14
  5. Step 5: Solve for x
    x = 209,737,763,473.14/407,816.70
  6. Step 6: Final answer
    x = 514,294.20

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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.