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Finding the Fourth Proportional to 517,623.57, 714,301.85 and 288,174.96

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Solution

The fourth proportional to 517,623.57, 714,301.85 and 288,174.96 is: 397,671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,623.57 : 714,301.85 = 288,174.96 : x
  2. Step 2: Convert to fraction form
    517,623.57/714,301.85 = 288,174.96/x
  3. Step 3: Cross multiply
    517,623.57x = 714,301.85 × 288,174.96
  4. Step 4: Simplify right side
    517,623.57x = 205,843,905,610.80
  5. Step 5: Solve for x
    x = 205,843,905,610.80/517,623.57
  6. Step 6: Final answer
    x = 397,671.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.