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Finding the Fourth Proportional to 287,916.80, 431,324.40 and 154,752.80

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Solution

The fourth proportional to 287,916.80, 431,324.40 and 154,752.80 is: 231,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,916.80 : 431,324.40 = 154,752.80 : x
  2. Step 2: Convert to fraction form
    287,916.80/431,324.40 = 154,752.80/x
  3. Step 3: Cross multiply
    287,916.80x = 431,324.40 × 154,752.80
  4. Step 4: Simplify right side
    287,916.80x = 66,748,658,608.32
  5. Step 5: Solve for x
    x = 66,748,658,608.32/287,916.80
  6. Step 6: Final answer
    x = 231,833.15

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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.