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Finding the Fourth Proportional to 278,294.24, 384,047.01 and 150,970.74

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Solution

The fourth proportional to 278,294.24, 384,047.01 and 150,970.74 is: 208,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,294.24 : 384,047.01 = 150,970.74 : x
  2. Step 2: Convert to fraction form
    278,294.24/384,047.01 = 150,970.74/x
  3. Step 3: Cross multiply
    278,294.24x = 384,047.01 × 150,970.74
  4. Step 4: Simplify right side
    278,294.24x = 57,979,861,294.49
  5. Step 5: Solve for x
    x = 57,979,861,294.49/278,294.24
  6. Step 6: Final answer
    x = 208,340.14

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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.