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Finding the Fourth Proportional to 458,102.34, 632,257.11 and 254,218.75

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Solution

The fourth proportional to 458,102.34, 632,257.11 and 254,218.75 is: 350,863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,102.34 : 632,257.11 = 254,218.75 : x
  2. Step 2: Convert to fraction form
    458,102.34/632,257.11 = 254,218.75/x
  3. Step 3: Cross multiply
    458,102.34x = 632,257.11 × 254,218.75
  4. Step 4: Simplify right side
    458,102.34x = 160,731,610,602.17
  5. Step 5: Solve for x
    x = 160,731,610,602.17/458,102.34
  6. Step 6: Final answer
    x = 350,863.98

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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.