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Finding the Fourth Proportional to 256,024.65, 384,007.13 and 160,974.29

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Solution

The fourth proportional to 256,024.65, 384,007.13 and 160,974.29 is: 241,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,024.65 : 384,007.13 = 160,974.29 : x
  2. Step 2: Convert to fraction form
    256,024.65/384,007.13 = 160,974.29/x
  3. Step 3: Cross multiply
    256,024.65x = 384,007.13 × 160,974.29
  4. Step 4: Simplify right side
    256,024.65x = 61,815,273,705.45
  5. Step 5: Solve for x
    x = 61,815,273,705.45/256,024.65
  6. Step 6: Final answer
    x = 241,442.67

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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.