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Finding the Fourth Proportional to 463,726.16, 639,965.88 and 259,764.80

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Solution

The fourth proportional to 463,726.16, 639,965.88 and 259,764.80 is: 358,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,726.16 : 639,965.88 = 259,764.80 : x
  2. Step 2: Convert to fraction form
    463,726.16/639,965.88 = 259,764.80/x
  3. Step 3: Cross multiply
    463,726.16x = 639,965.88 × 259,764.80
  4. Step 4: Simplify right side
    463,726.16x = 166,240,608,825.02
  5. Step 5: Solve for x
    x = 166,240,608,825.02/463,726.16
  6. Step 6: Final answer
    x = 358,488.74

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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.