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Finding the Fourth Proportional to 2,298,276, 3,447,414 and 722,340

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Solution

The fourth proportional to 2,298,276, 3,447,414 and 722,340 is: 1,083,510

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298,276 : 3,447,414 = 722,340 : x
  2. Step 2: Convert to fraction form
    2,298,276/3,447,414 = 722,340/x
  3. Step 3: Cross multiply
    2,298,276x = 3,447,414 × 722,340
  4. Step 4: Simplify right side
    2,298,276x = 2,490,205,028,760
  5. Step 5: Solve for x
    x = 2,490,205,028,760/2,298,276
  6. Step 6: Final answer
    x = 1,083,510

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.