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Finding the Fourth Proportional to 576,577, 864,868.58 and 378,153.90

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Solution

The fourth proportional to 576,577, 864,868.58 and 378,153.90 is: 567,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,577 : 864,868.58 = 378,153.90 : x
  2. Step 2: Convert to fraction form
    576,577/864,868.58 = 378,153.90/x
  3. Step 3: Cross multiply
    576,577x = 864,868.58 × 378,153.90
  4. Step 4: Simplify right side
    576,577x = 327,053,426,514.46
  5. Step 5: Solve for x
    x = 327,053,426,514.46/576,577
  6. Step 6: Final answer
    x = 567,232.87

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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.