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Finding the Fourth Proportional to 576,203.40, 864,305.10 and 202,264.20

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Solution

The fourth proportional to 576,203.40, 864,305.10 and 202,264.20 is: 303,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,203.40 : 864,305.10 = 202,264.20 : x
  2. Step 2: Convert to fraction form
    576,203.40/864,305.10 = 202,264.20/x
  3. Step 3: Cross multiply
    576,203.40x = 864,305.10 × 202,264.20
  4. Step 4: Simplify right side
    576,203.40x = 174,817,979,607.42
  5. Step 5: Solve for x
    x = 174,817,979,607.42/576,203.40
  6. Step 6: Final answer
    x = 303,396.30

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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.