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Finding the Fourth Proportional to 410,732.54, 566,808.19 and 229,442.87

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Solution

The fourth proportional to 410,732.54, 566,808.19 and 229,442.87 is: 316,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,732.54 : 566,808.19 = 229,442.87 : x
  2. Step 2: Convert to fraction form
    410,732.54/566,808.19 = 229,442.87/x
  3. Step 3: Cross multiply
    410,732.54x = 566,808.19 × 229,442.87
  4. Step 4: Simplify right side
    410,732.54x = 130,050,095,019.06
  5. Step 5: Solve for x
    x = 130,050,095,019.06/410,732.54
  6. Step 6: Final answer
    x = 316,629.64

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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.