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Finding the Fourth Proportional to 410,763.60, 566,846.64 and 229,464

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Solution

The fourth proportional to 410,763.60, 566,846.64 and 229,464 is: 316,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,763.60 : 566,846.64 = 229,464 : x
  2. Step 2: Convert to fraction form
    410,763.60/566,846.64 = 229,464/x
  3. Step 3: Cross multiply
    410,763.60x = 566,846.64 × 229,464
  4. Step 4: Simplify right side
    410,763.60x = 130,070,897,400.96
  5. Step 5: Solve for x
    x = 130,070,897,400.96/410,763.60
  6. Step 6: Final answer
    x = 316,656.34

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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.