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Finding the Fourth Proportional to 716,842.86, 989,129.78 and 410,860.31

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Solution

The fourth proportional to 716,842.86, 989,129.78 and 410,860.31 is: 566,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,842.86 : 989,129.78 = 410,860.31 : x
  2. Step 2: Convert to fraction form
    716,842.86/989,129.78 = 410,860.31/x
  3. Step 3: Cross multiply
    716,842.86x = 989,129.78 × 410,860.31
  4. Step 4: Simplify right side
    716,842.86x = 406,394,161,041.08
  5. Step 5: Solve for x
    x = 406,394,161,041.08/716,842.86
  6. Step 6: Final answer
    x = 566,922.24

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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.