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Finding the Fourth Proportional to 384,904.26, 577,879.96 and 216,543.06

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Solution

The fourth proportional to 384,904.26, 577,879.96 and 216,543.06 is: 325,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,904.26 : 577,879.96 = 216,543.06 : x
  2. Step 2: Convert to fraction form
    384,904.26/577,879.96 = 216,543.06/x
  3. Step 3: Cross multiply
    384,904.26x = 577,879.96 × 216,543.06
  4. Step 4: Simplify right side
    384,904.26x = 125,135,893,768.36
  5. Step 5: Solve for x
    x = 125,135,893,768.36/384,904.26
  6. Step 6: Final answer
    x = 325,109.14

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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.