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Finding the Fourth Proportional to 584,226.54, 806,269.95 and 329,484.78

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Solution

The fourth proportional to 584,226.54, 806,269.95 and 329,484.78 is: 454,710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,226.54 : 806,269.95 = 329,484.78 : x
  2. Step 2: Convert to fraction form
    584,226.54/806,269.95 = 329,484.78/x
  3. Step 3: Cross multiply
    584,226.54x = 806,269.95 × 329,484.78
  4. Step 4: Simplify right side
    584,226.54x = 265,653,677,096.36
  5. Step 5: Solve for x
    x = 265,653,677,096.36/584,226.54
  6. Step 6: Final answer
    x = 454,710.05

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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.