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Finding the Fourth Proportional to 564,030.46, 777,922.14 and 349,289.74

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Solution

The fourth proportional to 564,030.46, 777,922.14 and 349,289.74 is: 481,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,030.46 : 777,922.14 = 349,289.74 : x
  2. Step 2: Convert to fraction form
    564,030.46/777,922.14 = 349,289.74/x
  3. Step 3: Cross multiply
    564,030.46x = 777,922.14 × 349,289.74
  4. Step 4: Simplify right side
    564,030.46x = 271,720,222,020.84
  5. Step 5: Solve for x
    x = 271,720,222,020.84/564,030.46
  6. Step 6: Final answer
    x = 481,747.43

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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.