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Finding the Fourth Proportional to 502,468.20, 753,443.10 and 186,762.60

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Solution

The fourth proportional to 502,468.20, 753,443.10 and 186,762.60 is: 280,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,468.20 : 753,443.10 = 186,762.60 : x
  2. Step 2: Convert to fraction form
    502,468.20/753,443.10 = 186,762.60/x
  3. Step 3: Cross multiply
    502,468.20x = 753,443.10 × 186,762.60
  4. Step 4: Simplify right side
    502,468.20x = 140,714,992,308.06
  5. Step 5: Solve for x
    x = 140,714,992,308.06/502,468.20
  6. Step 6: Final answer
    x = 280,047.56

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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.