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Finding the Fourth Proportional to 312,000.10, 468,000.15 and 154,252.90

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Solution

The fourth proportional to 312,000.10, 468,000.15 and 154,252.90 is: 231,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,000.10 : 468,000.15 = 154,252.90 : x
  2. Step 2: Convert to fraction form
    312,000.10/468,000.15 = 154,252.90/x
  3. Step 3: Cross multiply
    312,000.10x = 468,000.15 × 154,252.90
  4. Step 4: Simplify right side
    312,000.10x = 72,190,380,337.94
  5. Step 5: Solve for x
    x = 72,190,380,337.94/312,000.10
  6. Step 6: Final answer
    x = 231,379.35

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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.