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Finding the Fourth Proportional to 287,856.29, 430,948.13 and 167,546.01

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Solution

The fourth proportional to 287,856.29, 430,948.13 and 167,546.01 is: 250,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,856.29 : 430,948.13 = 167,546.01 : x
  2. Step 2: Convert to fraction form
    287,856.29/430,948.13 = 167,546.01/x
  3. Step 3: Cross multiply
    287,856.29x = 430,948.13 × 167,546.01
  4. Step 4: Simplify right side
    287,856.29x = 72,203,638,860.73
  5. Step 5: Solve for x
    x = 72,203,638,860.73/287,856.29
  6. Step 6: Final answer
    x = 250,832.24

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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.