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Finding the Fourth Proportional to 458,209.84, 632,333.16 and 254,261.56

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Solution

The fourth proportional to 458,209.84, 632,333.16 and 254,261.56 is: 350,882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,209.84 : 632,333.16 = 254,261.56 : x
  2. Step 2: Convert to fraction form
    458,209.84/632,333.16 = 254,261.56/x
  3. Step 3: Cross multiply
    458,209.84x = 632,333.16 × 254,261.56
  4. Step 4: Simplify right side
    458,209.84x = 160,778,015,701.33
  5. Step 5: Solve for x
    x = 160,778,015,701.33/458,209.84
  6. Step 6: Final answer
    x = 350,882.94

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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.