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Finding the Fourth Proportional to 470,248.70, 648,921.52 and 266,294.96

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Solution

The fourth proportional to 470,248.70, 648,921.52 and 266,294.96 is: 367,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,248.70 : 648,921.52 = 266,294.96 : x
  2. Step 2: Convert to fraction form
    470,248.70/648,921.52 = 266,294.96/x
  3. Step 3: Cross multiply
    470,248.70x = 648,921.52 × 266,294.96
  4. Step 4: Simplify right side
    470,248.70x = 172,804,530,211.54
  5. Step 5: Solve for x
    x = 172,804,530,211.54/470,248.70
  6. Step 6: Final answer
    x = 367,474.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.