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Finding the Fourth Proportional to 411,969.50, 614,865.46 and 385,065.26

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Solution

The fourth proportional to 411,969.50, 614,865.46 and 385,065.26 is: 574,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,969.50 : 614,865.46 = 385,065.26 : x
  2. Step 2: Convert to fraction form
    411,969.50/614,865.46 = 385,065.26/x
  3. Step 3: Cross multiply
    411,969.50x = 614,865.46 × 385,065.26
  4. Step 4: Simplify right side
    411,969.50x = 236,763,328,219.92
  5. Step 5: Solve for x
    x = 236,763,328,219.92/411,969.50
  6. Step 6: Final answer
    x = 574,710.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.