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Finding the Fourth Proportional to 288,046.80, 431,681.40 and 193,006.80

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Solution

The fourth proportional to 288,046.80, 431,681.40 and 193,006.80 is: 289,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,046.80 : 431,681.40 = 193,006.80 : x
  2. Step 2: Convert to fraction form
    288,046.80/431,681.40 = 193,006.80/x
  3. Step 3: Cross multiply
    288,046.80x = 431,681.40 × 193,006.80
  4. Step 4: Simplify right side
    288,046.80x = 83,317,445,633.52
  5. Step 5: Solve for x
    x = 83,317,445,633.52/288,046.80
  6. Step 6: Final answer
    x = 289,249.68

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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.