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Finding the Fourth Proportional to 470,587.38, 649,435.38 and 266,677.86

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Solution

The fourth proportional to 470,587.38, 649,435.38 and 266,677.86 is: 368,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,587.38 : 649,435.38 = 266,677.86 : x
  2. Step 2: Convert to fraction form
    470,587.38/649,435.38 = 266,677.86/x
  3. Step 3: Cross multiply
    470,587.38x = 649,435.38 × 266,677.86
  4. Step 4: Simplify right side
    470,587.38x = 173,190,037,346.69
  5. Step 5: Solve for x
    x = 173,190,037,346.69/470,587.38
  6. Step 6: Final answer
    x = 368,029.50

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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.