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Finding the Fourth Proportional to 288,049.80, 431,685.90 and 193,009.80

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Solution

The fourth proportional to 288,049.80, 431,685.90 and 193,009.80 is: 289,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,049.80 : 431,685.90 = 193,009.80 : x
  2. Step 2: Convert to fraction form
    288,049.80/431,685.90 = 193,009.80/x
  3. Step 3: Cross multiply
    288,049.80x = 431,685.90 × 193,009.80
  4. Step 4: Simplify right side
    288,049.80x = 83,319,609,221.82
  5. Step 5: Solve for x
    x = 83,319,609,221.82/288,049.80
  6. Step 6: Final answer
    x = 289,254.18

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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.