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Finding the Fourth Proportional to 594,447.84, 820,338.03 and 339,804.50

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Solution

The fourth proportional to 594,447.84, 820,338.03 and 339,804.50 is: 468,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,447.84 : 820,338.03 = 339,804.50 : x
  2. Step 2: Convert to fraction form
    594,447.84/820,338.03 = 339,804.50/x
  3. Step 3: Cross multiply
    594,447.84x = 820,338.03 × 339,804.50
  4. Step 4: Simplify right side
    594,447.84x = 278,754,550,013.45
  5. Step 5: Solve for x
    x = 278,754,550,013.45/594,447.84
  6. Step 6: Final answer
    x = 468,930.21

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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.