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Finding the Fourth Proportional to 360,860.46, 497,938.14 and 207,841.74

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Solution

The fourth proportional to 360,860.46, 497,938.14 and 207,841.74 is: 286,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,860.46 : 497,938.14 = 207,841.74 : x
  2. Step 2: Convert to fraction form
    360,860.46/497,938.14 = 207,841.74/x
  3. Step 3: Cross multiply
    360,860.46x = 497,938.14 × 207,841.74
  4. Step 4: Simplify right side
    360,860.46x = 103,492,329,429.96
  5. Step 5: Solve for x
    x = 103,492,329,429.96/360,860.46
  6. Step 6: Final answer
    x = 286,793.21

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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.