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Finding the Fourth Proportional to 589,776.59, 814,165.71 and 444,641.11

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Solution

The fourth proportional to 589,776.59, 814,165.71 and 444,641.11 is: 613,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,776.59 : 814,165.71 = 444,641.11 : x
  2. Step 2: Convert to fraction form
    589,776.59/814,165.71 = 444,641.11/x
  3. Step 3: Cross multiply
    589,776.59x = 814,165.71 × 444,641.11
  4. Step 4: Simplify right side
    589,776.59x = 362,011,548,396.31
  5. Step 5: Solve for x
    x = 362,011,548,396.31/589,776.59
  6. Step 6: Final answer
    x = 613,811.32

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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.