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Finding the Fourth Proportional to 275,097.71, 412,708.80 and 97,604.93

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Solution

The fourth proportional to 275,097.71, 412,708.80 and 97,604.93 is: 146,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,097.71 : 412,708.80 = 97,604.93 : x
  2. Step 2: Convert to fraction form
    275,097.71/412,708.80 = 97,604.93/x
  3. Step 3: Cross multiply
    275,097.71x = 412,708.80 × 97,604.93
  4. Step 4: Simplify right side
    275,097.71x = 40,282,413,534.38
  5. Step 5: Solve for x
    x = 40,282,413,534.38/275,097.71
  6. Step 6: Final answer
    x = 146,429.48

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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.