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Finding the Fourth Proportional to 616,234.40, 924,351.60 and 378,807.20

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Solution

The fourth proportional to 616,234.40, 924,351.60 and 378,807.20 is: 568,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,234.40 : 924,351.60 = 378,807.20 : x
  2. Step 2: Convert to fraction form
    616,234.40/924,351.60 = 378,807.20/x
  3. Step 3: Cross multiply
    616,234.40x = 924,351.60 × 378,807.20
  4. Step 4: Simplify right side
    616,234.40x = 350,151,041,411.52
  5. Step 5: Solve for x
    x = 350,151,041,411.52/616,234.40
  6. Step 6: Final answer
    x = 568,210.80

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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.