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Finding the Fourth Proportional to 230,874.30, 322,436.70 and 230,874.30

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Solution

The fourth proportional to 230,874.30, 322,436.70 and 230,874.30 is: 322,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,874.30 : 322,436.70 = 230,874.30 : x
  2. Step 2: Convert to fraction form
    230,874.30/322,436.70 = 230,874.30/x
  3. Step 3: Cross multiply
    230,874.30x = 322,436.70 × 230,874.30
  4. Step 4: Simplify right side
    230,874.30x = 74,442,347,406.81
  5. Step 5: Solve for x
    x = 74,442,347,406.81/230,874.30
  6. Step 6: Final answer
    x = 322,436.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.