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Finding the Fourth Proportional to 502,415.20, 752,456.40 and 343,784.80

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Solution

The fourth proportional to 502,415.20, 752,456.40 and 343,784.80 is: 514,879.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,415.20 : 752,456.40 = 343,784.80 : x
  2. Step 2: Convert to fraction form
    502,415.20/752,456.40 = 343,784.80/x
  3. Step 3: Cross multiply
    502,415.20x = 752,456.40 × 343,784.80
  4. Step 4: Simplify right side
    502,415.20x = 258,683,072,982.72
  5. Step 5: Solve for x
    x = 258,683,072,982.72/502,415.20
  6. Step 6: Final answer
    x = 514,879.07

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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.