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Finding the Fourth Proportional to 564,895.62, 779,230.53 and 338,409.90

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Solution

The fourth proportional to 564,895.62, 779,230.53 and 338,409.90 is: 466,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,895.62 : 779,230.53 = 338,409.90 : x
  2. Step 2: Convert to fraction form
    564,895.62/779,230.53 = 338,409.90/x
  3. Step 3: Cross multiply
    564,895.62x = 779,230.53 × 338,409.90
  4. Step 4: Simplify right side
    564,895.62x = 263,699,325,734.25
  5. Step 5: Solve for x
    x = 263,699,325,734.25/564,895.62
  6. Step 6: Final answer
    x = 466,810.71

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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.