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Finding the Fourth Proportional to 458,978.29, 633,376.48 and 255,024.13

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Solution

The fourth proportional to 458,978.29, 633,376.48 and 255,024.13 is: 351,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,978.29 : 633,376.48 = 255,024.13 : x
  2. Step 2: Convert to fraction form
    458,978.29/633,376.48 = 255,024.13/x
  3. Step 3: Cross multiply
    458,978.29x = 633,376.48 × 255,024.13
  4. Step 4: Simplify right side
    458,978.29x = 161,526,285,774.46
  5. Step 5: Solve for x
    x = 161,526,285,774.46/458,978.29
  6. Step 6: Final answer
    x = 351,925.76

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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.