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Finding the Fourth Proportional to 410,272.24, 566,204.16 and 229,019.80

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Solution

The fourth proportional to 410,272.24, 566,204.16 and 229,019.80 is: 316,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,272.24 : 566,204.16 = 229,019.80 : x
  2. Step 2: Convert to fraction form
    410,272.24/566,204.16 = 229,019.80/x
  3. Step 3: Cross multiply
    410,272.24x = 566,204.16 × 229,019.80
  4. Step 4: Simplify right side
    410,272.24x = 129,671,963,482.37
  5. Step 5: Solve for x
    x = 129,671,963,482.37/410,272.24
  6. Step 6: Final answer
    x = 316,063.22

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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.