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Finding the Fourth Proportional to 278,313.44, 384,047.16 and 157,465.76

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Solution

The fourth proportional to 278,313.44, 384,047.16 and 157,465.76 is: 217,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,313.44 : 384,047.16 = 157,465.76 : x
  2. Step 2: Convert to fraction form
    278,313.44/384,047.16 = 157,465.76/x
  3. Step 3: Cross multiply
    278,313.44x = 384,047.16 × 157,465.76
  4. Step 4: Simplify right side
    278,313.44x = 60,474,277,925.24
  5. Step 5: Solve for x
    x = 60,474,277,925.24/278,313.44
  6. Step 6: Final answer
    x = 217,288.39

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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.