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Finding the Fourth Proportional to 462,578.85, 693,313.02 and 238,045.23

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Solution

The fourth proportional to 462,578.85, 693,313.02 and 238,045.23 is: 356,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,578.85 : 693,313.02 = 238,045.23 : x
  2. Step 2: Convert to fraction form
    462,578.85/693,313.02 = 238,045.23/x
  3. Step 3: Cross multiply
    462,578.85x = 693,313.02 × 238,045.23
  4. Step 4: Simplify right side
    462,578.85x = 165,039,857,307.90
  5. Step 5: Solve for x
    x = 165,039,857,307.90/462,578.85
  6. Step 6: Final answer
    x = 356,782.11

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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.