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Finding the Fourth Proportional to 360,641.76, 497,642.25 and 207,729.68

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Solution

The fourth proportional to 360,641.76, 497,642.25 and 207,729.68 is: 286,641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,641.76 : 497,642.25 = 207,729.68 : x
  2. Step 2: Convert to fraction form
    360,641.76/497,642.25 = 207,729.68/x
  3. Step 3: Cross multiply
    360,641.76x = 497,642.25 × 207,729.68
  4. Step 4: Simplify right side
    360,641.76x = 103,375,066,436.99
  5. Step 5: Solve for x
    x = 103,375,066,436.99/360,641.76
  6. Step 6: Final answer
    x = 286,641.98

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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.