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Finding the Fourth Proportional to 410,796.13, 566,894.78 and 229,539.28

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Solution

The fourth proportional to 410,796.13, 566,894.78 and 229,539.28 is: 316,762.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,796.13 : 566,894.78 = 229,539.28 : x
  2. Step 2: Convert to fraction form
    410,796.13/566,894.78 = 229,539.28/x
  3. Step 3: Cross multiply
    410,796.13x = 566,894.78 × 229,539.28
  4. Step 4: Simplify right side
    410,796.13x = 130,124,619,636.96
  5. Step 5: Solve for x
    x = 130,124,619,636.96/410,796.13
  6. Step 6: Final answer
    x = 316,762.04

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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.