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Finding the Fourth Proportional to 594,326.40, 819,970.96 and 339,497.16

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Solution

The fourth proportional to 594,326.40, 819,970.96 and 339,497.16 is: 468,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,326.40 : 819,970.96 = 339,497.16 : x
  2. Step 2: Convert to fraction form
    594,326.40/819,970.96 = 339,497.16/x
  3. Step 3: Cross multiply
    594,326.40x = 819,970.96 × 339,497.16
  4. Step 4: Simplify right side
    594,326.40x = 278,377,812,202.47
  5. Step 5: Solve for x
    x = 278,377,812,202.47/594,326.40
  6. Step 6: Final answer
    x = 468,392.14

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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.