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Finding the Fourth Proportional to 287,922.80, 431,689.80 and 153,009.20

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Solution

The fourth proportional to 287,922.80, 431,689.80 and 153,009.20 is: 229,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,922.80 : 431,689.80 = 153,009.20 : x
  2. Step 2: Convert to fraction form
    287,922.80/431,689.80 = 153,009.20/x
  3. Step 3: Cross multiply
    287,922.80x = 431,689.80 × 153,009.20
  4. Step 4: Simplify right side
    287,922.80x = 66,052,510,946.16
  5. Step 5: Solve for x
    x = 66,052,510,946.16/287,922.80
  6. Step 6: Final answer
    x = 229,410.49

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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.