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Finding the Fourth Proportional to 275,344.19, 413,016.30 and 97,858.20

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Solution

The fourth proportional to 275,344.19, 413,016.30 and 97,858.20 is: 146,787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,344.19 : 413,016.30 = 97,858.20 : x
  2. Step 2: Convert to fraction form
    275,344.19/413,016.30 = 97,858.20/x
  3. Step 3: Cross multiply
    275,344.19x = 413,016.30 × 97,858.20
  4. Step 4: Simplify right side
    275,344.19x = 40,417,031,688.66
  5. Step 5: Solve for x
    x = 40,417,031,688.66/275,344.19
  6. Step 6: Final answer
    x = 146,787.31

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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.