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Finding the Fourth Proportional to 475,943.84, 713,442.56 and 238,562

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Solution

The fourth proportional to 475,943.84, 713,442.56 and 238,562 is: 357,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,943.84 : 713,442.56 = 238,562 : x
  2. Step 2: Convert to fraction form
    475,943.84/713,442.56 = 238,562/x
  3. Step 3: Cross multiply
    475,943.84x = 713,442.56 × 238,562
  4. Step 4: Simplify right side
    475,943.84x = 170,200,283,998.72
  5. Step 5: Solve for x
    x = 170,200,283,998.72/475,943.84
  6. Step 6: Final answer
    x = 357,605.81

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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.