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Finding the Fourth Proportional to 463,856.40, 695,745.72 and 148,228.56

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Solution

The fourth proportional to 463,856.40, 695,745.72 and 148,228.56 is: 222,330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,856.40 : 695,745.72 = 148,228.56 : x
  2. Step 2: Convert to fraction form
    463,856.40/695,745.72 = 148,228.56/x
  3. Step 3: Cross multiply
    463,856.40x = 695,745.72 × 148,228.56
  4. Step 4: Simplify right side
    463,856.40x = 103,129,386,201.76
  5. Step 5: Solve for x
    x = 103,129,386,201.76/463,856.40
  6. Step 6: Final answer
    x = 222,330.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.