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Finding the Fourth Proportional to 413,605.62, 570,763.32 and 229,843.56

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Solution

The fourth proportional to 413,605.62, 570,763.32 and 229,843.56 is: 317,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,605.62 : 570,763.32 = 229,843.56 : x
  2. Step 2: Convert to fraction form
    413,605.62/570,763.32 = 229,843.56/x
  3. Step 3: Cross multiply
    413,605.62x = 570,763.32 × 229,843.56
  4. Step 4: Simplify right side
    413,605.62x = 131,186,273,386.22
  5. Step 5: Solve for x
    x = 131,186,273,386.22/413,605.62
  6. Step 6: Final answer
    x = 317,177.20

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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.