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Finding the Fourth Proportional to 563,066.16, 843,782.76 and 310,398

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Solution

The fourth proportional to 563,066.16, 843,782.76 and 310,398 is: 465,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,066.16 : 843,782.76 = 310,398 : x
  2. Step 2: Convert to fraction form
    563,066.16/843,782.76 = 310,398/x
  3. Step 3: Cross multiply
    563,066.16x = 843,782.76 × 310,398
  4. Step 4: Simplify right side
    563,066.16x = 261,908,481,138.48
  5. Step 5: Solve for x
    x = 261,908,481,138.48/563,066.16
  6. Step 6: Final answer
    x = 465,146.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.