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Finding the Fourth Proportional to 338,615.92, 467,337.56 and 209,595.76

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Solution

The fourth proportional to 338,615.92, 467,337.56 and 209,595.76 is: 289,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,615.92 : 467,337.56 = 209,595.76 : x
  2. Step 2: Convert to fraction form
    338,615.92/467,337.56 = 209,595.76/x
  3. Step 3: Cross multiply
    338,615.92x = 467,337.56 × 209,595.76
  4. Step 4: Simplify right side
    338,615.92x = 97,951,971,064.75
  5. Step 5: Solve for x
    x = 97,951,971,064.75/338,615.92
  6. Step 6: Final answer
    x = 289,271.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.