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Finding the Fourth Proportional to 491,463.81, 737,300.89 and 278,332.46

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Solution

The fourth proportional to 491,463.81, 737,300.89 and 278,332.46 is: 417,558.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,463.81 : 737,300.89 = 278,332.46 : x
  2. Step 2: Convert to fraction form
    491,463.81/737,300.89 = 278,332.46/x
  3. Step 3: Cross multiply
    491,463.81x = 737,300.89 × 278,332.46
  4. Step 4: Simplify right side
    491,463.81x = 205,214,770,473.89
  5. Step 5: Solve for x
    x = 205,214,770,473.89/491,463.81
  6. Step 6: Final answer
    x = 417,558.25

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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.