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Finding the Fourth Proportional to 470,104.31, 705,436.67 and 170,608.30

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Solution

The fourth proportional to 470,104.31, 705,436.67 and 170,608.30 is: 256,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,104.31 : 705,436.67 = 170,608.30 : x
  2. Step 2: Convert to fraction form
    470,104.31/705,436.67 = 170,608.30/x
  3. Step 3: Cross multiply
    470,104.31x = 705,436.67 × 170,608.30
  4. Step 4: Simplify right side
    470,104.31x = 120,353,349,689.29
  5. Step 5: Solve for x
    x = 120,353,349,689.29/470,104.31
  6. Step 6: Final answer
    x = 256,014.14

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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.