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Finding the Fourth Proportional to 410,661.42, 566,701.20 and 229,368

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Solution

The fourth proportional to 410,661.42, 566,701.20 and 229,368 is: 316,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,661.42 : 566,701.20 = 229,368 : x
  2. Step 2: Convert to fraction form
    410,661.42/566,701.20 = 229,368/x
  3. Step 3: Cross multiply
    410,661.42x = 566,701.20 × 229,368
  4. Step 4: Simplify right side
    410,661.42x = 129,983,120,841.60
  5. Step 5: Solve for x
    x = 129,983,120,841.60/410,661.42
  6. Step 6: Final answer
    x = 316,521.38

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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.