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Finding the Fourth Proportional to 410,774.60, 566,812.86 and 229,464.11

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Solution

The fourth proportional to 410,774.60, 566,812.86 and 229,464.11 is: 316,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,774.60 : 566,812.86 = 229,464.11 : x
  2. Step 2: Convert to fraction form
    410,774.60/566,812.86 = 229,464.11/x
  3. Step 3: Cross multiply
    410,774.60x = 566,812.86 × 229,464.11
  4. Step 4: Simplify right side
    410,774.60x = 130,063,208,456.46
  5. Step 5: Solve for x
    x = 130,063,208,456.46/410,774.60
  6. Step 6: Final answer
    x = 316,629.14

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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.