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Finding the Fourth Proportional to 389,309.04, 584,041.44 and 164,668.50

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Solution

The fourth proportional to 389,309.04, 584,041.44 and 164,668.50 is: 247,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,309.04 : 584,041.44 = 164,668.50 : x
  2. Step 2: Convert to fraction form
    389,309.04/584,041.44 = 164,668.50/x
  3. Step 3: Cross multiply
    389,309.04x = 584,041.44 × 164,668.50
  4. Step 4: Simplify right side
    389,309.04x = 96,173,227,862.64
  5. Step 5: Solve for x
    x = 96,173,227,862.64/389,309.04
  6. Step 6: Final answer
    x = 247,035.69

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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.