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Finding the Fourth Proportional to 389,399.93, 584,099.89 and 164,702.08

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Solution

The fourth proportional to 389,399.93, 584,099.89 and 164,702.08 is: 247,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,399.93 : 584,099.89 = 164,702.08 : x
  2. Step 2: Convert to fraction form
    389,399.93/584,099.89 = 164,702.08/x
  3. Step 3: Cross multiply
    389,399.93x = 584,099.89 × 164,702.08
  4. Step 4: Simplify right side
    389,399.93x = 96,202,464,938.77
  5. Step 5: Solve for x
    x = 96,202,464,938.77/389,399.93
  6. Step 6: Final answer
    x = 247,053.12

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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.