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Finding the Fourth Proportional to 458,136, 632,228.04 and 256,932

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Solution

The fourth proportional to 458,136, 632,228.04 and 256,932 is: 354,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,136 : 632,228.04 = 256,932 : x
  2. Step 2: Convert to fraction form
    458,136/632,228.04 = 256,932/x
  3. Step 3: Cross multiply
    458,136x = 632,228.04 × 256,932
  4. Step 4: Simplify right side
    458,136x = 162,439,614,773.28
  5. Step 5: Solve for x
    x = 162,439,614,773.28/458,136
  6. Step 6: Final answer
    x = 354,566.36

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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.