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Finding the Fourth Proportional to 458,402.88, 632,606.88 and 257,213.76

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Solution

The fourth proportional to 458,402.88, 632,606.88 and 257,213.76 is: 354,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,402.88 : 632,606.88 = 257,213.76 : x
  2. Step 2: Convert to fraction form
    458,402.88/632,606.88 = 257,213.76/x
  3. Step 3: Cross multiply
    458,402.88x = 632,606.88 × 257,213.76
  4. Step 4: Simplify right side
    458,402.88x = 162,715,194,206.67
  5. Step 5: Solve for x
    x = 162,715,194,206.67/458,402.88
  6. Step 6: Final answer
    x = 354,961.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.