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Finding the Fourth Proportional to 410,894.75, 567,024.19 and 229,608.17

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Solution

The fourth proportional to 410,894.75, 567,024.19 and 229,608.17 is: 316,853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,894.75 : 567,024.19 = 229,608.17 : x
  2. Step 2: Convert to fraction form
    410,894.75/567,024.19 = 229,608.17/x
  3. Step 3: Cross multiply
    410,894.75x = 567,024.19 × 229,608.17
  4. Step 4: Simplify right side
    410,894.75x = 130,193,382,628.47
  5. Step 5: Solve for x
    x = 130,193,382,628.47/410,894.75
  6. Step 6: Final answer
    x = 316,853.36

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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.