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Finding the Fourth Proportional to 538,897.40, 807,471.30 and 338,859.80

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Solution

The fourth proportional to 538,897.40, 807,471.30 and 338,859.80 is: 507,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,897.40 : 807,471.30 = 338,859.80 : x
  2. Step 2: Convert to fraction form
    538,897.40/807,471.30 = 338,859.80/x
  3. Step 3: Cross multiply
    538,897.40x = 807,471.30 × 338,859.80
  4. Step 4: Simplify right side
    538,897.40x = 273,619,563,223.74
  5. Step 5: Solve for x
    x = 273,619,563,223.74/538,897.40
  6. Step 6: Final answer
    x = 507,739.62

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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.