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Finding the Fourth Proportional to 414,781.44, 572,392.02 and 233,492.82

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Solution

The fourth proportional to 414,781.44, 572,392.02 and 233,492.82 is: 322,216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,781.44 : 572,392.02 = 233,492.82 : x
  2. Step 2: Convert to fraction form
    414,781.44/572,392.02 = 233,492.82/x
  3. Step 3: Cross multiply
    414,781.44x = 572,392.02 × 233,492.82
  4. Step 4: Simplify right side
    414,781.44x = 133,649,426,895.30
  5. Step 5: Solve for x
    x = 133,649,426,895.30/414,781.44
  6. Step 6: Final answer
    x = 322,216.51

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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.