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Finding the Fourth Proportional to 462,564.75, 694,451.40 and 371,428.82

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Solution

The fourth proportional to 462,564.75, 694,451.40 and 371,428.82 is: 557,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,564.75 : 694,451.40 = 371,428.82 : x
  2. Step 2: Convert to fraction form
    462,564.75/694,451.40 = 371,428.82/x
  3. Step 3: Cross multiply
    462,564.75x = 694,451.40 × 371,428.82
  4. Step 4: Simplify right side
    462,564.75x = 257,939,264,049.35
  5. Step 5: Solve for x
    x = 257,939,264,049.35/462,564.75
  6. Step 6: Final answer
    x = 557,628.45

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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.