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Finding the Fourth Proportional to 563,568.57, 777,727.35 and 337,214.07

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Solution

The fourth proportional to 563,568.57, 777,727.35 and 337,214.07 is: 465,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,568.57 : 777,727.35 = 337,214.07 : x
  2. Step 2: Convert to fraction form
    563,568.57/777,727.35 = 337,214.07/x
  3. Step 3: Cross multiply
    563,568.57x = 777,727.35 × 337,214.07
  4. Step 4: Simplify right side
    563,568.57x = 262,260,605,043.81
  5. Step 5: Solve for x
    x = 262,260,605,043.81/563,568.57
  6. Step 6: Final answer
    x = 465,357.05

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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.