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Finding the Fourth Proportional to 311,961, 430,506.42 and 168,720.86

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Solution

The fourth proportional to 311,961, 430,506.42 and 168,720.86 is: 232,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,961 : 430,506.42 = 168,720.86 : x
  2. Step 2: Convert to fraction form
    311,961/430,506.42 = 168,720.86/x
  3. Step 3: Cross multiply
    311,961x = 430,506.42 × 168,720.86
  4. Step 4: Simplify right side
    311,961x = 72,635,413,417.92
  5. Step 5: Solve for x
    x = 72,635,413,417.92/311,961
  6. Step 6: Final answer
    x = 232,834.92

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1.5x scale

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.