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Finding the Fourth Proportional to 563,342.34, 777,412.74 and 308,693.53

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Solution

The fourth proportional to 563,342.34, 777,412.74 and 308,693.53 is: 425,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,342.34 : 777,412.74 = 308,693.53 : x
  2. Step 2: Convert to fraction form
    563,342.34/777,412.74 = 308,693.53/x
  3. Step 3: Cross multiply
    563,342.34x = 777,412.74 × 308,693.53
  4. Step 4: Simplify right side
    563,342.34x = 239,982,283,370.54
  5. Step 5: Solve for x
    x = 239,982,283,370.54/563,342.34
  6. Step 6: Final answer
    x = 425,997.24

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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.