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Finding the Fourth Proportional to 410,027.07, 615,018.72 and 110,502.84

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Solution

The fourth proportional to 410,027.07, 615,018.72 and 110,502.84 is: 165,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,027.07 : 615,018.72 = 110,502.84 : x
  2. Step 2: Convert to fraction form
    410,027.07/615,018.72 = 110,502.84/x
  3. Step 3: Cross multiply
    410,027.07x = 615,018.72 × 110,502.84
  4. Step 4: Simplify right side
    410,027.07x = 67,961,315,213.16
  5. Step 5: Solve for x
    x = 67,961,315,213.16/410,027.07
  6. Step 6: Final answer
    x = 165,748.36

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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.