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Finding the Fourth Proportional to 414,602.82, 572,180.94 and 233,332.20

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Solution

The fourth proportional to 414,602.82, 572,180.94 and 233,332.20 is: 322,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,602.82 : 572,180.94 = 233,332.20 : x
  2. Step 2: Convert to fraction form
    414,602.82/572,180.94 = 233,332.20/x
  3. Step 3: Cross multiply
    414,602.82x = 572,180.94 × 233,332.20
  4. Step 4: Simplify right side
    414,602.82x = 133,508,237,528.27
  5. Step 5: Solve for x
    x = 133,508,237,528.27/414,602.82
  6. Step 6: Final answer
    x = 322,014.78

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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.