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Finding the Fourth Proportional to 458,096.12, 632,248.52 and 254,212.53

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Solution

The fourth proportional to 458,096.12, 632,248.52 and 254,212.53 is: 350,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,096.12 : 632,248.52 = 254,212.53 : x
  2. Step 2: Convert to fraction form
    458,096.12/632,248.52 = 254,212.53/x
  3. Step 3: Cross multiply
    458,096.12x = 632,248.52 × 254,212.53
  4. Step 4: Simplify right side
    458,096.12x = 160,725,495,857.96
  5. Step 5: Solve for x
    x = 160,725,495,857.96/458,096.12
  6. Step 6: Final answer
    x = 350,855.40

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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.