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Finding the Fourth Proportional to 410,893.19, 567,029.83 and 229,605.57

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Solution

The fourth proportional to 410,893.19, 567,029.83 and 229,605.57 is: 316,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,893.19 : 567,029.83 = 229,605.57 : x
  2. Step 2: Convert to fraction form
    410,893.19/567,029.83 = 229,605.57/x
  3. Step 3: Cross multiply
    410,893.19x = 567,029.83 × 229,605.57
  4. Step 4: Simplify right side
    410,893.19x = 130,193,207,324.15
  5. Step 5: Solve for x
    x = 130,193,207,324.15/410,893.19
  6. Step 6: Final answer
    x = 316,854.14

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1.5x scale

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.