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Finding the Fourth Proportional to 458,157.74, 632,278.98 and 286,177.53

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Solution

The fourth proportional to 458,157.74, 632,278.98 and 286,177.53 is: 394,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,157.74 : 632,278.98 = 286,177.53 : x
  2. Step 2: Convert to fraction form
    458,157.74/632,278.98 = 286,177.53/x
  3. Step 3: Cross multiply
    458,157.74x = 632,278.98 × 286,177.53
  4. Step 4: Simplify right side
    458,157.74x = 180,944,033,323.11
  5. Step 5: Solve for x
    x = 180,944,033,323.11/458,157.74
  6. Step 6: Final answer
    x = 394,938.29

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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.