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Finding the Fourth Proportional to 413,085.44, 570,011.64 and 231,759.65

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Solution

The fourth proportional to 413,085.44, 570,011.64 and 231,759.65 is: 319,802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,085.44 : 570,011.64 = 231,759.65 : x
  2. Step 2: Convert to fraction form
    413,085.44/570,011.64 = 231,759.65/x
  3. Step 3: Cross multiply
    413,085.44x = 570,011.64 × 231,759.65
  4. Step 4: Simplify right side
    413,085.44x = 132,105,698,182.33
  5. Step 5: Solve for x
    x = 132,105,698,182.33/413,085.44
  6. Step 6: Final answer
    x = 319,802.36

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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.