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Finding the Fourth Proportional to 458,745.18, 633,058.11 and 254,784.66

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Solution

The fourth proportional to 458,745.18, 633,058.11 and 254,784.66 is: 351,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,745.18 : 633,058.11 = 254,784.66 : x
  2. Step 2: Convert to fraction form
    458,745.18/633,058.11 = 254,784.66/x
  3. Step 3: Cross multiply
    458,745.18x = 633,058.11 × 254,784.66
  4. Step 4: Simplify right side
    458,745.18x = 161,293,495,316.59
  5. Step 5: Solve for x
    x = 161,293,495,316.59/458,745.18
  6. Step 6: Final answer
    x = 351,597.14

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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.