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Finding the Fourth Proportional to 295,862.40, 444,085.20 and 146,271.60

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Solution

The fourth proportional to 295,862.40, 444,085.20 and 146,271.60 is: 219,551.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,862.40 : 444,085.20 = 146,271.60 : x
  2. Step 2: Convert to fraction form
    295,862.40/444,085.20 = 146,271.60/x
  3. Step 3: Cross multiply
    295,862.40x = 444,085.20 × 146,271.60
  4. Step 4: Simplify right side
    295,862.40x = 64,957,052,740.32
  5. Step 5: Solve for x
    x = 64,957,052,740.32/295,862.40
  6. Step 6: Final answer
    x = 219,551.56

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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.