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Finding the Fourth Proportional to 389,323.08, 584,063.19 and 164,684.16

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Solution

The fourth proportional to 389,323.08, 584,063.19 and 164,684.16 is: 247,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,323.08 : 584,063.19 = 164,684.16 : x
  2. Step 2: Convert to fraction form
    389,323.08/584,063.19 = 164,684.16/x
  3. Step 3: Cross multiply
    389,323.08x = 584,063.19 × 164,684.16
  4. Step 4: Simplify right side
    389,323.08x = 96,185,955,832.07
  5. Step 5: Solve for x
    x = 96,185,955,832.07/389,323.08
  6. Step 6: Final answer
    x = 247,059.48

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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.