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Finding the Fourth Proportional to 360,872.59, 497,948.68 and 207,880.90

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Solution

The fourth proportional to 360,872.59, 497,948.68 and 207,880.90 is: 286,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,872.59 : 497,948.68 = 207,880.90 : x
  2. Step 2: Convert to fraction form
    360,872.59/497,948.68 = 207,880.90/x
  3. Step 3: Cross multiply
    360,872.59x = 497,948.68 × 207,880.90
  4. Step 4: Simplify right side
    360,872.59x = 103,514,019,752.21
  5. Step 5: Solve for x
    x = 103,514,019,752.21/360,872.59
  6. Step 6: Final answer
    x = 286,843.67

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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.