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Finding the Fourth Proportional to 410,685.84, 566,729.46 and 229,396.92

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Solution

The fourth proportional to 410,685.84, 566,729.46 and 229,396.92 is: 316,558.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,685.84 : 566,729.46 = 229,396.92 : x
  2. Step 2: Convert to fraction form
    410,685.84/566,729.46 = 229,396.92/x
  3. Step 3: Cross multiply
    410,685.84x = 566,729.46 × 229,396.92
  4. Step 4: Simplify right side
    410,685.84x = 130,005,992,597.26
  5. Step 5: Solve for x
    x = 130,005,992,597.26/410,685.84
  6. Step 6: Final answer
    x = 316,558.25

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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.