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Finding the Fourth Proportional to 274,677, 412,018.07 and 97,214.10

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Solution

The fourth proportional to 274,677, 412,018.07 and 97,214.10 is: 145,822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,677 : 412,018.07 = 97,214.10 : x
  2. Step 2: Convert to fraction form
    274,677/412,018.07 = 97,214.10/x
  3. Step 3: Cross multiply
    274,677x = 412,018.07 × 97,214.10
  4. Step 4: Simplify right side
    274,677x = 40,053,965,372.72
  5. Step 5: Solve for x
    x = 40,053,965,372.72/274,677
  6. Step 6: Final answer
    x = 145,822.06

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1.5x scale

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.