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Finding the Fourth Proportional to 287,244.80, 430,694.40 and 147,276.80

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Solution

The fourth proportional to 287,244.80, 430,694.40 and 147,276.80 is: 220,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,244.80 : 430,694.40 = 147,276.80 : x
  2. Step 2: Convert to fraction form
    287,244.80/430,694.40 = 147,276.80/x
  3. Step 3: Cross multiply
    287,244.80x = 430,694.40 × 147,276.80
  4. Step 4: Simplify right side
    287,244.80x = 63,431,293,009.92
  5. Step 5: Solve for x
    x = 63,431,293,009.92/287,244.80
  6. Step 6: Final answer
    x = 220,826.60

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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.