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Finding the Fourth Proportional to 477,810.01, 716,699.08 and 140,856.22

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Solution

The fourth proportional to 477,810.01, 716,699.08 and 140,856.22 is: 211,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,810.01 : 716,699.08 = 140,856.22 : x
  2. Step 2: Convert to fraction form
    477,810.01/716,699.08 = 140,856.22/x
  3. Step 3: Cross multiply
    477,810.01x = 716,699.08 × 140,856.22
  4. Step 4: Simplify right side
    477,810.01x = 100,951,523,286.28
  5. Step 5: Solve for x
    x = 100,951,523,286.28/477,810.01
  6. Step 6: Final answer
    x = 211,279.63

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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.