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Finding the Fourth Proportional to 417,711.40, 576,393.80 and 233,924.34

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Solution

The fourth proportional to 417,711.40, 576,393.80 and 233,924.34 is: 322,788.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,711.40 : 576,393.80 = 233,924.34 : x
  2. Step 2: Convert to fraction form
    417,711.40/576,393.80 = 233,924.34/x
  3. Step 3: Cross multiply
    417,711.40x = 576,393.80 × 233,924.34
  4. Step 4: Simplify right side
    417,711.40x = 134,832,539,245.09
  5. Step 5: Solve for x
    x = 134,832,539,245.09/417,711.40
  6. Step 6: Final answer
    x = 322,788.75

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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.