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Finding the Fourth Proportional to 410,980.13, 567,114.62 and 229,666.89

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Solution

The fourth proportional to 410,980.13, 567,114.62 and 229,666.89 is: 316,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,980.13 : 567,114.62 = 229,666.89 : x
  2. Step 2: Convert to fraction form
    410,980.13/567,114.62 = 229,666.89/x
  3. Step 3: Cross multiply
    410,980.13x = 567,114.62 × 229,666.89
  4. Step 4: Simplify right side
    410,980.13x = 130,247,452,027.28
  5. Step 5: Solve for x
    x = 130,247,452,027.28/410,980.13
  6. Step 6: Final answer
    x = 316,919.10

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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.