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Finding the Fourth Proportional to 383,055.60, 574,583.40 and 146,276.40

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Solution

The fourth proportional to 383,055.60, 574,583.40 and 146,276.40 is: 219,414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,055.60 : 574,583.40 = 146,276.40 : x
  2. Step 2: Convert to fraction form
    383,055.60/574,583.40 = 146,276.40/x
  3. Step 3: Cross multiply
    383,055.60x = 574,583.40 × 146,276.40
  4. Step 4: Simplify right side
    383,055.60x = 84,047,991,251.76
  5. Step 5: Solve for x
    x = 84,047,991,251.76/383,055.60
  6. Step 6: Final answer
    x = 219,414.60

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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.