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Finding the Fourth Proportional to 360,164.72, 497,044.68 and 216,969.68

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Solution

The fourth proportional to 360,164.72, 497,044.68 and 216,969.68 is: 299,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,164.72 : 497,044.68 = 216,969.68 : x
  2. Step 2: Convert to fraction form
    360,164.72/497,044.68 = 216,969.68/x
  3. Step 3: Cross multiply
    360,164.72x = 497,044.68 × 216,969.68
  4. Step 4: Simplify right side
    360,164.72x = 107,843,625,165.30
  5. Step 5: Solve for x
    x = 107,843,625,165.30/360,164.72
  6. Step 6: Final answer
    x = 299,428.62

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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.