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Finding the Fourth Proportional to 513,016.94, 708,033.71 and 295,221.14

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Solution

The fourth proportional to 513,016.94, 708,033.71 and 295,221.14 is: 407,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,016.94 : 708,033.71 = 295,221.14 : x
  2. Step 2: Convert to fraction form
    513,016.94/708,033.71 = 295,221.14/x
  3. Step 3: Cross multiply
    513,016.94x = 708,033.71 × 295,221.14
  4. Step 4: Simplify right side
    513,016.94x = 209,026,517,217.02
  5. Step 5: Solve for x
    x = 209,026,517,217.02/513,016.94
  6. Step 6: Final answer
    x = 407,445.64

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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.