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Finding the Fourth Proportional to 598,170, 897,254.76 and 177,442.20

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Solution

The fourth proportional to 598,170, 897,254.76 and 177,442.20 is: 266,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,170 : 897,254.76 = 177,442.20 : x
  2. Step 2: Convert to fraction form
    598,170/897,254.76 = 177,442.20/x
  3. Step 3: Cross multiply
    598,170x = 897,254.76 × 177,442.20
  4. Step 4: Simplify right side
    598,170x = 159,210,858,574.87
  5. Step 5: Solve for x
    x = 159,210,858,574.87/598,170
  6. Step 6: Final answer
    x = 266,163.23

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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.