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Finding the Fourth Proportional to 312,000.10, 468,000.15 and 101,659.30

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Solution

The fourth proportional to 312,000.10, 468,000.15 and 101,659.30 is: 152,488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,000.10 : 468,000.15 = 101,659.30 : x
  2. Step 2: Convert to fraction form
    312,000.10/468,000.15 = 101,659.30/x
  3. Step 3: Cross multiply
    312,000.10x = 468,000.15 × 101,659.30
  4. Step 4: Simplify right side
    312,000.10x = 47,576,567,648.90
  5. Step 5: Solve for x
    x = 47,576,567,648.90/312,000.10
  6. Step 6: Final answer
    x = 152,488.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.