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Finding the Fourth Proportional to 594,711.71, 820,702.93 and 322,779.57

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Solution

The fourth proportional to 594,711.71, 820,702.93 and 322,779.57 is: 445,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,711.71 : 820,702.93 = 322,779.57 : x
  2. Step 2: Convert to fraction form
    594,711.71/820,702.93 = 322,779.57/x
  3. Step 3: Cross multiply
    594,711.71x = 820,702.93 × 322,779.57
  4. Step 4: Simplify right side
    594,711.71x = 264,906,138,843.14
  5. Step 5: Solve for x
    x = 264,906,138,843.14/594,711.71
  6. Step 6: Final answer
    x = 445,436.22

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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.