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Finding the Fourth Proportional to 410,114.23, 615,203.47 and 110,590.27

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Solution

The fourth proportional to 410,114.23, 615,203.47 and 110,590.27 is: 165,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,114.23 : 615,203.47 = 110,590.27 : x
  2. Step 2: Convert to fraction form
    410,114.23/615,203.47 = 110,590.27/x
  3. Step 3: Cross multiply
    410,114.23x = 615,203.47 × 110,590.27
  4. Step 4: Simplify right side
    410,114.23x = 68,035,514,776.22
  5. Step 5: Solve for x
    x = 68,035,514,776.22/410,114.23
  6. Step 6: Final answer
    x = 165,894.06

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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.