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Finding the Fourth Proportional to 576,360, 864,544.86 and 202,383

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Solution

The fourth proportional to 576,360, 864,544.86 and 202,383 is: 303,576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,360 : 864,544.86 = 202,383 : x
  2. Step 2: Convert to fraction form
    576,360/864,544.86 = 202,383/x
  3. Step 3: Cross multiply
    576,360x = 864,544.86 × 202,383
  4. Step 4: Simplify right side
    576,360x = 174,969,182,401.38
  5. Step 5: Solve for x
    x = 174,969,182,401.38/576,360
  6. Step 6: Final answer
    x = 303,576.21

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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.