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Finding the Fourth Proportional to 582,314.81, 803,433 and 349,681.73

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Solution

The fourth proportional to 582,314.81, 803,433 and 349,681.73 is: 482,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,314.81 : 803,433 = 349,681.73 : x
  2. Step 2: Convert to fraction form
    582,314.81/803,433 = 349,681.73/x
  3. Step 3: Cross multiply
    582,314.81x = 803,433 × 349,681.73
  4. Step 4: Simplify right side
    582,314.81x = 280,945,837,361.93
  5. Step 5: Solve for x
    x = 280,945,837,361.93/582,314.81
  6. Step 6: Final answer
    x = 482,463.84

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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.