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Finding the Fourth Proportional to 458,117.70, 632,181 and 254,166.45

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Solution

The fourth proportional to 458,117.70, 632,181 and 254,166.45 is: 350,737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,117.70 : 632,181 = 254,166.45 : x
  2. Step 2: Convert to fraction form
    458,117.70/632,181 = 254,166.45/x
  3. Step 3: Cross multiply
    458,117.70x = 632,181 × 254,166.45
  4. Step 4: Simplify right side
    458,117.70x = 160,679,200,527.45
  5. Step 5: Solve for x
    x = 160,679,200,527.45/458,117.70
  6. Step 6: Final answer
    x = 350,737.81

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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.