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Finding the Fourth Proportional to 360,238.22, 497,058.08 and 217,006.11

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Solution

The fourth proportional to 360,238.22, 497,058.08 and 217,006.11 is: 299,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,238.22 : 497,058.08 = 217,006.11 : x
  2. Step 2: Convert to fraction form
    360,238.22/497,058.08 = 217,006.11/x
  3. Step 3: Cross multiply
    360,238.22x = 497,058.08 × 217,006.11
  4. Step 4: Simplify right side
    360,238.22x = 107,864,639,299.84
  5. Step 5: Solve for x
    x = 107,864,639,299.84/360,238.22
  6. Step 6: Final answer
    x = 299,425.87

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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.