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Finding the Fourth Proportional to 410,941.87, 567,101.87 and 229,656.83

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Solution

The fourth proportional to 410,941.87, 567,101.87 and 229,656.83 is: 316,927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,941.87 : 567,101.87 = 229,656.83 : x
  2. Step 2: Convert to fraction form
    410,941.87/567,101.87 = 229,656.83/x
  3. Step 3: Cross multiply
    410,941.87x = 567,101.87 × 229,656.83
  4. Step 4: Simplify right side
    410,941.87x = 130,238,813,767.48
  5. Step 5: Solve for x
    x = 130,238,813,767.48/410,941.87
  6. Step 6: Final answer
    x = 316,927.59

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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.