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Finding the Fourth Proportional to 287,832.60, 431,384.40 and 110,102.40

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Solution

The fourth proportional to 287,832.60, 431,384.40 and 110,102.40 is: 165,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,832.60 : 431,384.40 = 110,102.40 : x
  2. Step 2: Convert to fraction form
    287,832.60/431,384.40 = 110,102.40/x
  3. Step 3: Cross multiply
    287,832.60x = 431,384.40 × 110,102.40
  4. Step 4: Simplify right side
    287,832.60x = 47,496,457,762.56
  5. Step 5: Solve for x
    x = 47,496,457,762.56/287,832.60
  6. Step 6: Final answer
    x = 165,014.17

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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.