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Finding the Fourth Proportional to 476,565.68, 714,693 and 210,315.44

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Solution

The fourth proportional to 476,565.68, 714,693 and 210,315.44 is: 315,404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,565.68 : 714,693 = 210,315.44 : x
  2. Step 2: Convert to fraction form
    476,565.68/714,693 = 210,315.44/x
  3. Step 3: Cross multiply
    476,565.68x = 714,693 × 210,315.44
  4. Step 4: Simplify right side
    476,565.68x = 150,310,972,759.92
  5. Step 5: Solve for x
    x = 150,310,972,759.92/476,565.68
  6. Step 6: Final answer
    x = 315,404.53

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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.