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Finding the Fourth Proportional to 310,661.07, 465,244.25 and 177,136.53

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Solution

The fourth proportional to 310,661.07, 465,244.25 and 177,136.53 is: 265,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,661.07 : 465,244.25 = 177,136.53 : x
  2. Step 2: Convert to fraction form
    310,661.07/465,244.25 = 177,136.53/x
  3. Step 3: Cross multiply
    310,661.07x = 465,244.25 × 177,136.53
  4. Step 4: Simplify right side
    310,661.07x = 82,411,751,161.77
  5. Step 5: Solve for x
    x = 82,411,751,161.77/310,661.07
  6. Step 6: Final answer
    x = 265,278.66

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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.