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Finding the Fourth Proportional to 513,273.66, 708,322.25 and 283,846.38

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Solution

The fourth proportional to 513,273.66, 708,322.25 and 283,846.38 is: 391,710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,273.66 : 708,322.25 = 283,846.38 : x
  2. Step 2: Convert to fraction form
    513,273.66/708,322.25 = 283,846.38/x
  3. Step 3: Cross multiply
    513,273.66x = 708,322.25 × 283,846.38
  4. Step 4: Simplify right side
    513,273.66x = 201,054,705,116.72
  5. Step 5: Solve for x
    x = 201,054,705,116.72/513,273.66
  6. Step 6: Final answer
    x = 391,710.55

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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.