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Finding the Fourth Proportional to 563,262.53, 843,805.01 and 313,186.37

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Solution

The fourth proportional to 563,262.53, 843,805.01 and 313,186.37 is: 469,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,262.53 : 843,805.01 = 313,186.37 : x
  2. Step 2: Convert to fraction form
    563,262.53/843,805.01 = 313,186.37/x
  3. Step 3: Cross multiply
    563,262.53x = 843,805.01 × 313,186.37
  4. Step 4: Simplify right side
    563,262.53x = 264,268,224,633.66
  5. Step 5: Solve for x
    x = 264,268,224,633.66/563,262.53
  6. Step 6: Final answer
    x = 469,174.16

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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.