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Finding the Fourth Proportional to 476,359.92, 714,597.66 and 210,187.44

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Solution

The fourth proportional to 476,359.92, 714,597.66 and 210,187.44 is: 315,306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,359.92 : 714,597.66 = 210,187.44 : x
  2. Step 2: Convert to fraction form
    476,359.92/714,597.66 = 210,187.44/x
  3. Step 3: Cross multiply
    476,359.92x = 714,597.66 × 210,187.44
  4. Step 4: Simplify right side
    476,359.92x = 150,199,452,785.39
  5. Step 5: Solve for x
    x = 150,199,452,785.39/476,359.92
  6. Step 6: Final answer
    x = 315,306.65

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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.