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Finding the Fourth Proportional to 387,813.15, 535,175.10 and 215,730.27

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Solution

The fourth proportional to 387,813.15, 535,175.10 and 215,730.27 is: 297,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,813.15 : 535,175.10 = 215,730.27 : x
  2. Step 2: Convert to fraction form
    387,813.15/535,175.10 = 215,730.27/x
  3. Step 3: Cross multiply
    387,813.15x = 535,175.10 × 215,730.27
  4. Step 4: Simplify right side
    387,813.15x = 115,453,468,820.28
  5. Step 5: Solve for x
    x = 115,453,468,820.28/387,813.15
  6. Step 6: Final answer
    x = 297,703.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.