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Finding the Fourth Proportional to 458,175, 632,557.98 and 299,475.48

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Solution

The fourth proportional to 458,175, 632,557.98 and 299,475.48 is: 413,456.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,175 : 632,557.98 = 299,475.48 : x
  2. Step 2: Convert to fraction form
    458,175/632,557.98 = 299,475.48/x
  3. Step 3: Cross multiply
    458,175x = 632,557.98 × 299,475.48
  4. Step 4: Simplify right side
    458,175x = 189,435,604,688.33
  5. Step 5: Solve for x
    x = 189,435,604,688.33/458,175
  6. Step 6: Final answer
    x = 413,456.88

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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.