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Finding the Fourth Proportional to 259,726.40, 389,560.80 and 212,897.60

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Solution

The fourth proportional to 259,726.40, 389,560.80 and 212,897.60 is: 319,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,726.40 : 389,560.80 = 212,897.60 : x
  2. Step 2: Convert to fraction form
    259,726.40/389,560.80 = 212,897.60/x
  3. Step 3: Cross multiply
    259,726.40x = 389,560.80 × 212,897.60
  4. Step 4: Simplify right side
    259,726.40x = 82,936,559,374.08
  5. Step 5: Solve for x
    x = 82,936,559,374.08/259,726.40
  6. Step 6: Final answer
    x = 319,322.79

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1.5x scale

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.