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Finding the Fourth Proportional to 410,574.92, 566,582.34 and 229,281.80

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Solution

The fourth proportional to 410,574.92, 566,582.34 and 229,281.80 is: 316,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,574.92 : 566,582.34 = 229,281.80 : x
  2. Step 2: Convert to fraction form
    410,574.92/566,582.34 = 229,281.80/x
  3. Step 3: Cross multiply
    410,574.92x = 566,582.34 × 229,281.80
  4. Step 4: Simplify right side
    410,574.92x = 129,907,018,763.41
  5. Step 5: Solve for x
    x = 129,907,018,763.41/410,574.92
  6. Step 6: Final answer
    x = 316,402.71

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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.