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Finding the Fourth Proportional to 410,708.76, 566,761.50 and 229,417.80

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Solution

The fourth proportional to 410,708.76, 566,761.50 and 229,417.80 is: 316,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,708.76 : 566,761.50 = 229,417.80 : x
  2. Step 2: Convert to fraction form
    410,708.76/566,761.50 = 229,417.80/x
  3. Step 3: Cross multiply
    410,708.76x = 566,761.50 × 229,417.80
  4. Step 4: Simplify right side
    410,708.76x = 130,025,176,454.70
  5. Step 5: Solve for x
    x = 130,025,176,454.70/410,708.76
  6. Step 6: Final answer
    x = 316,587.30

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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.