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Finding the Fourth Proportional to 470,765.10, 705,925.17 and 171,036.66

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Solution

The fourth proportional to 470,765.10, 705,925.17 and 171,036.66 is: 256,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,765.10 : 705,925.17 = 171,036.66 : x
  2. Step 2: Convert to fraction form
    470,765.10/705,925.17 = 171,036.66/x
  3. Step 3: Cross multiply
    470,765.10x = 705,925.17 × 171,036.66
  4. Step 4: Simplify right side
    470,765.10x = 120,739,083,286.73
  5. Step 5: Solve for x
    x = 120,739,083,286.73/470,765.10
  6. Step 6: Final answer
    x = 256,474.16

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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.