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Finding the Fourth Proportional to 275,008.96, 412,454.04 and 97,521.76

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Solution

The fourth proportional to 275,008.96, 412,454.04 and 97,521.76 is: 146,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,008.96 : 412,454.04 = 97,521.76 : x
  2. Step 2: Convert to fraction form
    275,008.96/412,454.04 = 97,521.76/x
  3. Step 3: Cross multiply
    275,008.96x = 412,454.04 × 97,521.76
  4. Step 4: Simplify right side
    275,008.96x = 40,223,243,899.91
  5. Step 5: Solve for x
    x = 40,223,243,899.91/275,008.96
  6. Step 6: Final answer
    x = 146,261.58

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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.