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Finding the Fourth Proportional to 700,998.09, 967,700.28 and 410,569.35

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Solution

The fourth proportional to 700,998.09, 967,700.28 and 410,569.35 is: 566,774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,998.09 : 967,700.28 = 410,569.35 : x
  2. Step 2: Convert to fraction form
    700,998.09/967,700.28 = 410,569.35/x
  3. Step 3: Cross multiply
    700,998.09x = 967,700.28 × 410,569.35
  4. Step 4: Simplify right side
    700,998.09x = 397,308,074,954.42
  5. Step 5: Solve for x
    x = 397,308,074,954.42/700,998.09
  6. Step 6: Final answer
    x = 566,774.83

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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.