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Finding the Fourth Proportional to 410,894.89, 567,024.05 and 229,608.31

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Solution

The fourth proportional to 410,894.89, 567,024.05 and 229,608.31 is: 316,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,894.89 : 567,024.05 = 229,608.31 : x
  2. Step 2: Convert to fraction form
    410,894.89/567,024.05 = 229,608.31/x
  3. Step 3: Cross multiply
    410,894.89x = 567,024.05 × 229,608.31
  4. Step 4: Simplify right side
    410,894.89x = 130,193,433,849.86
  5. Step 5: Solve for x
    x = 130,193,433,849.86/410,894.89
  6. Step 6: Final answer
    x = 316,853.38

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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.