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Finding the Fourth Proportional to 410,659.69, 566,704.40 and 229,374.20

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Solution

The fourth proportional to 410,659.69, 566,704.40 and 229,374.20 is: 316,533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,659.69 : 566,704.40 = 229,374.20 : x
  2. Step 2: Convert to fraction form
    410,659.69/566,704.40 = 229,374.20/x
  3. Step 3: Cross multiply
    410,659.69x = 566,704.40 × 229,374.20
  4. Step 4: Simplify right side
    410,659.69x = 129,987,368,386.48
  5. Step 5: Solve for x
    x = 129,987,368,386.48/410,659.69
  6. Step 6: Final answer
    x = 316,533.06

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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.