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Finding the Fourth Proportional to 424,461.74, 585,425.25 and 263,225.66

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Solution

The fourth proportional to 424,461.74, 585,425.25 and 263,225.66 is: 363,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,461.74 : 585,425.25 = 263,225.66 : x
  2. Step 2: Convert to fraction form
    424,461.74/585,425.25 = 263,225.66/x
  3. Step 3: Cross multiply
    424,461.74x = 585,425.25 × 263,225.66
  4. Step 4: Simplify right side
    424,461.74x = 154,098,947,811.92
  5. Step 5: Solve for x
    x = 154,098,947,811.92/424,461.74
  6. Step 6: Final answer
    x = 363,045.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.