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Finding the Fourth Proportional to 538,878.40, 807,442.80 and 338,840.80

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Solution

The fourth proportional to 538,878.40, 807,442.80 and 338,840.80 is: 507,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,878.40 : 807,442.80 = 338,840.80 : x
  2. Step 2: Convert to fraction form
    538,878.40/807,442.80 = 338,840.80/x
  3. Step 3: Cross multiply
    538,878.40x = 807,442.80 × 338,840.80
  4. Step 4: Simplify right side
    538,878.40x = 273,594,564,306.24
  5. Step 5: Solve for x
    x = 273,594,564,306.24/538,878.40
  6. Step 6: Final answer
    x = 507,711.14

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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.