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Finding the Fourth Proportional to 410,685.69, 566,729.32 and 229,396.75

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Solution

The fourth proportional to 410,685.69, 566,729.32 and 229,396.75 is: 316,558.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,685.69 : 566,729.32 = 229,396.75 : x
  2. Step 2: Convert to fraction form
    410,685.69/566,729.32 = 229,396.75/x
  3. Step 3: Cross multiply
    410,685.69x = 566,729.32 × 229,396.75
  4. Step 4: Simplify right side
    410,685.69x = 130,005,864,137.71
  5. Step 5: Solve for x
    x = 130,005,864,137.71/410,685.69
  6. Step 6: Final answer
    x = 316,558.06

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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.