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Finding the Fourth Proportional to 287,719.20, 402,282 and 287,719.20

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Solution

The fourth proportional to 287,719.20, 402,282 and 287,719.20 is: 402,282

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,719.20 : 402,282 = 287,719.20 : x
  2. Step 2: Convert to fraction form
    287,719.20/402,282 = 287,719.20/x
  3. Step 3: Cross multiply
    287,719.20x = 402,282 × 287,719.20
  4. Step 4: Simplify right side
    287,719.20x = 115,744,255,214.40
  5. Step 5: Solve for x
    x = 115,744,255,214.40/287,719.20
  6. Step 6: Final answer
    x = 402,282

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.