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Finding the Fourth Proportional to 576,362.25, 864,548.24 and 202,385.25

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Solution

The fourth proportional to 576,362.25, 864,548.24 and 202,385.25 is: 303,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,362.25 : 864,548.24 = 202,385.25 : x
  2. Step 2: Convert to fraction form
    576,362.25/864,548.24 = 202,385.25/x
  3. Step 3: Cross multiply
    576,362.25x = 864,548.24 × 202,385.25
  4. Step 4: Simplify right side
    576,362.25x = 174,971,810,677.53
  5. Step 5: Solve for x
    x = 174,971,810,677.53/576,362.25
  6. Step 6: Final answer
    x = 303,579.58

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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.