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Finding the Fourth Proportional to 360,642.26, 497,642.95 and 207,730.18

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Solution

The fourth proportional to 360,642.26, 497,642.95 and 207,730.18 is: 286,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,642.26 : 497,642.95 = 207,730.18 : x
  2. Step 2: Convert to fraction form
    360,642.26/497,642.95 = 207,730.18/x
  3. Step 3: Cross multiply
    360,642.26x = 497,642.95 × 207,730.18
  4. Step 4: Simplify right side
    360,642.26x = 103,375,458,540.58
  5. Step 5: Solve for x
    x = 103,375,458,540.58/360,642.26
  6. Step 6: Final answer
    x = 286,642.67

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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.