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Finding the Fourth Proportional to 437,309.42, 654,482.85 and 268,936.55

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Solution

The fourth proportional to 437,309.42, 654,482.85 and 268,936.55 is: 402,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,309.42 : 654,482.85 = 268,936.55 : x
  2. Step 2: Convert to fraction form
    437,309.42/654,482.85 = 268,936.55/x
  3. Step 3: Cross multiply
    437,309.42x = 654,482.85 × 268,936.55
  4. Step 4: Simplify right side
    437,309.42x = 176,014,355,096.07
  5. Step 5: Solve for x
    x = 176,014,355,096.07/437,309.42
  6. Step 6: Final answer
    x = 402,493.85

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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.