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Finding the Fourth Proportional to 412,294.37, 618,009.96 and 172,545.64

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Solution

The fourth proportional to 412,294.37, 618,009.96 and 172,545.64 is: 258,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,294.37 : 618,009.96 = 172,545.64 : x
  2. Step 2: Convert to fraction form
    412,294.37/618,009.96 = 172,545.64/x
  3. Step 3: Cross multiply
    412,294.37x = 618,009.96 × 172,545.64
  4. Step 4: Simplify right side
    412,294.37x = 106,634,923,211.85
  5. Step 5: Solve for x
    x = 106,634,923,211.85/412,294.37
  6. Step 6: Final answer
    x = 258,637.84

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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.