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Finding the Fourth Proportional to 594,870, 820,933.56 and 326,598

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Solution

The fourth proportional to 594,870, 820,933.56 and 326,598 is: 450,712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,870 : 820,933.56 = 326,598 : x
  2. Step 2: Convert to fraction form
    594,870/820,933.56 = 326,598/x
  3. Step 3: Cross multiply
    594,870x = 820,933.56 × 326,598
  4. Step 4: Simplify right side
    594,870x = 268,115,258,828.88
  5. Step 5: Solve for x
    x = 268,115,258,828.88/594,870
  6. Step 6: Final answer
    x = 450,712.36

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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.