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Finding the Fourth Proportional to 614,735.80, 922,103.70 and 349,015.30

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Solution

The fourth proportional to 614,735.80, 922,103.70 and 349,015.30 is: 523,522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,735.80 : 922,103.70 = 349,015.30 : x
  2. Step 2: Convert to fraction form
    614,735.80/922,103.70 = 349,015.30/x
  3. Step 3: Cross multiply
    614,735.80x = 922,103.70 × 349,015.30
  4. Step 4: Simplify right side
    614,735.80x = 321,828,299,486.61
  5. Step 5: Solve for x
    x = 321,828,299,486.61/614,735.80
  6. Step 6: Final answer
    x = 523,522.95

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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.