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Finding the Fourth Proportional to 706,568.94, 975,205.17 and 400,651.38

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Solution

The fourth proportional to 706,568.94, 975,205.17 and 400,651.38 is: 552,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,568.94 : 975,205.17 = 400,651.38 : x
  2. Step 2: Convert to fraction form
    706,568.94/975,205.17 = 400,651.38/x
  3. Step 3: Cross multiply
    706,568.94x = 975,205.17 × 400,651.38
  4. Step 4: Simplify right side
    706,568.94x = 390,717,297,143.64
  5. Step 5: Solve for x
    x = 390,717,297,143.64/706,568.94
  6. Step 6: Final answer
    x = 552,978.31

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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.