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Finding the Fourth Proportional to 312,644.76, 431,598.54 and 209,456.63

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Solution

The fourth proportional to 312,644.76, 431,598.54 and 209,456.63 is: 289,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,644.76 : 431,598.54 = 209,456.63 : x
  2. Step 2: Convert to fraction form
    312,644.76/431,598.54 = 209,456.63/x
  3. Step 3: Cross multiply
    312,644.76x = 431,598.54 × 209,456.63
  4. Step 4: Simplify right side
    312,644.76x = 90,401,177,565.78
  5. Step 5: Solve for x
    x = 90,401,177,565.78/312,644.76
  6. Step 6: Final answer
    x = 289,149.82

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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.