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Finding the Fourth Proportional to 287,712.60, 431,204.40 and 109,982.40

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Solution

The fourth proportional to 287,712.60, 431,204.40 and 109,982.40 is: 164,834.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,712.60 : 431,204.40 = 109,982.40 : x
  2. Step 2: Convert to fraction form
    287,712.60/431,204.40 = 109,982.40/x
  3. Step 3: Cross multiply
    287,712.60x = 431,204.40 × 109,982.40
  4. Step 4: Simplify right side
    287,712.60x = 47,424,894,802.56
  5. Step 5: Solve for x
    x = 47,424,894,802.56/287,712.60
  6. Step 6: Final answer
    x = 164,834.26

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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.