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Finding the Fourth Proportional to 584,728, 874,558.32 and 344,269.08

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Solution

The fourth proportional to 584,728, 874,558.32 and 344,269.08 is: 514,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,728 : 874,558.32 = 344,269.08 : x
  2. Step 2: Convert to fraction form
    584,728/874,558.32 = 344,269.08/x
  3. Step 3: Cross multiply
    584,728x = 874,558.32 × 344,269.08
  4. Step 4: Simplify right side
    584,728x = 301,083,388,232.75
  5. Step 5: Solve for x
    x = 301,083,388,232.75/584,728
  6. Step 6: Final answer
    x = 514,911.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.