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Finding the Fourth Proportional to 287,838.60, 431,393.40 and 110,108.40

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Solution

The fourth proportional to 287,838.60, 431,393.40 and 110,108.40 is: 165,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,838.60 : 431,393.40 = 110,108.40 : x
  2. Step 2: Convert to fraction form
    287,838.60/431,393.40 = 110,108.40/x
  3. Step 3: Cross multiply
    287,838.60x = 431,393.40 × 110,108.40
  4. Step 4: Simplify right side
    287,838.60x = 47,500,037,044.56
  5. Step 5: Solve for x
    x = 47,500,037,044.56/287,838.60
  6. Step 6: Final answer
    x = 165,023.17

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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.