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Finding the Fourth Proportional to 565,637.82, 780,468.24 and 317,287.74

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Solution

The fourth proportional to 565,637.82, 780,468.24 and 317,287.74 is: 437,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,637.82 : 780,468.24 = 317,287.74 : x
  2. Step 2: Convert to fraction form
    565,637.82/780,468.24 = 317,287.74/x
  3. Step 3: Cross multiply
    565,637.82x = 780,468.24 × 317,287.74
  4. Step 4: Simplify right side
    565,637.82x = 247,633,004,011.38
  5. Step 5: Solve for x
    x = 247,633,004,011.38/565,637.82
  6. Step 6: Final answer
    x = 437,794.28

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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.