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Finding the Fourth Proportional to 362,014.40, 542,805.60 and 221,873.60

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Solution

The fourth proportional to 362,014.40, 542,805.60 and 221,873.60 is: 332,678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,014.40 : 542,805.60 = 221,873.60 : x
  2. Step 2: Convert to fraction form
    362,014.40/542,805.60 = 221,873.60/x
  3. Step 3: Cross multiply
    362,014.40x = 542,805.60 × 221,873.60
  4. Step 4: Simplify right side
    362,014.40x = 120,434,232,572.16
  5. Step 5: Solve for x
    x = 120,434,232,572.16/362,014.40
  6. Step 6: Final answer
    x = 332,678.02

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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.