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Finding the Fourth Proportional to 410,406.93, 614,349.08 and 349,872.60

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Solution

The fourth proportional to 410,406.93, 614,349.08 and 349,872.60 is: 523,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,406.93 : 614,349.08 = 349,872.60 : x
  2. Step 2: Convert to fraction form
    410,406.93/614,349.08 = 349,872.60/x
  3. Step 3: Cross multiply
    410,406.93x = 614,349.08 × 349,872.60
  4. Step 4: Simplify right side
    410,406.93x = 214,943,908,177.85
  5. Step 5: Solve for x
    x = 214,943,908,177.85/410,406.93
  6. Step 6: Final answer
    x = 523,733.62

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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.