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Finding the Fourth Proportional to 287,783.70, 431,429.42 and 110,418

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Solution

The fourth proportional to 287,783.70, 431,429.42 and 110,418 is: 165,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,783.70 : 431,429.42 = 110,418 : x
  2. Step 2: Convert to fraction form
    287,783.70/431,429.42 = 110,418/x
  3. Step 3: Cross multiply
    287,783.70x = 431,429.42 × 110,418
  4. Step 4: Simplify right side
    287,783.70x = 47,637,573,145.47
  5. Step 5: Solve for x
    x = 47,637,573,145.47/287,783.70
  6. Step 6: Final answer
    x = 165,532.56

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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.