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Finding the Fourth Proportional to 410,334.16, 566,259.60 and 229,044.50

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Solution

The fourth proportional to 410,334.16, 566,259.60 and 229,044.50 is: 316,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,334.16 : 566,259.60 = 229,044.50 : x
  2. Step 2: Convert to fraction form
    410,334.16/566,259.60 = 229,044.50/x
  3. Step 3: Cross multiply
    410,334.16x = 566,259.60 × 229,044.50
  4. Step 4: Simplify right side
    410,334.16x = 129,698,646,952.20
  5. Step 5: Solve for x
    x = 129,698,646,952.20/410,334.16
  6. Step 6: Final answer
    x = 316,080.55

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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.