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Finding the Fourth Proportional to 278,622.47, 384,503.81 and 151,298.06

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Solution

The fourth proportional to 278,622.47, 384,503.81 and 151,298.06 is: 208,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,622.47 : 384,503.81 = 151,298.06 : x
  2. Step 2: Convert to fraction form
    278,622.47/384,503.81 = 151,298.06/x
  3. Step 3: Cross multiply
    278,622.47x = 384,503.81 × 151,298.06
  4. Step 4: Simplify right side
    278,622.47x = 58,174,680,720.38
  5. Step 5: Solve for x
    x = 58,174,680,720.38/278,622.47
  6. Step 6: Final answer
    x = 208,793.93

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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.