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Finding the Fourth Proportional to 517,910.01, 714,751.74 and 313,969.52

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Solution

The fourth proportional to 517,910.01, 714,751.74 and 313,969.52 is: 433,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,910.01 : 714,751.74 = 313,969.52 : x
  2. Step 2: Convert to fraction form
    517,910.01/714,751.74 = 313,969.52/x
  3. Step 3: Cross multiply
    517,910.01x = 714,751.74 × 313,969.52
  4. Step 4: Simplify right side
    517,910.01x = 224,410,262,513.84
  5. Step 5: Solve for x
    x = 224,410,262,513.84/517,910.01
  6. Step 6: Final answer
    x = 433,299.72

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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.