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Finding the Fourth Proportional to 275,055.84, 412,447.68 and 97,536.24

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Solution

The fourth proportional to 275,055.84, 412,447.68 and 97,536.24 is: 146,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,055.84 : 412,447.68 = 97,536.24 : x
  2. Step 2: Convert to fraction form
    275,055.84/412,447.68 = 97,536.24/x
  3. Step 3: Cross multiply
    275,055.84x = 412,447.68 × 97,536.24
  4. Step 4: Simplify right side
    275,055.84x = 40,228,595,903.92
  5. Step 5: Solve for x
    x = 40,228,595,903.92/275,055.84
  6. Step 6: Final answer
    x = 146,256.11

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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.