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Finding the Fourth Proportional to 411,381.74, 616,975.71 and 231,543.69

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Solution

The fourth proportional to 411,381.74, 616,975.71 and 231,543.69 is: 347,261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,381.74 : 616,975.71 = 231,543.69 : x
  2. Step 2: Convert to fraction form
    411,381.74/616,975.71 = 231,543.69/x
  3. Step 3: Cross multiply
    411,381.74x = 616,975.71 × 231,543.69
  4. Step 4: Simplify right side
    411,381.74x = 142,856,832,533.77
  5. Step 5: Solve for x
    x = 142,856,832,533.77/411,381.74
  6. Step 6: Final answer
    x = 347,261.00

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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.