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Finding the Fourth Proportional to 360,213.56, 497,080.66 and 207,301

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Solution

The fourth proportional to 360,213.56, 497,080.66 and 207,301 is: 286,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,213.56 : 497,080.66 = 207,301 : x
  2. Step 2: Convert to fraction form
    360,213.56/497,080.66 = 207,301/x
  3. Step 3: Cross multiply
    360,213.56x = 497,080.66 × 207,301
  4. Step 4: Simplify right side
    360,213.56x = 103,045,317,898.66
  5. Step 5: Solve for x
    x = 103,045,317,898.66/360,213.56
  6. Step 6: Final answer
    x = 286,067.29

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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.