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Finding the Fourth Proportional to 472,575.36, 708,060.64 and 285,193.12

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Solution

The fourth proportional to 472,575.36, 708,060.64 and 285,193.12 is: 427,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,575.36 : 708,060.64 = 285,193.12 : x
  2. Step 2: Convert to fraction form
    472,575.36/708,060.64 = 285,193.12/x
  3. Step 3: Cross multiply
    472,575.36x = 708,060.64 × 285,193.12
  4. Step 4: Simplify right side
    472,575.36x = 201,934,023,070.80
  5. Step 5: Solve for x
    x = 201,934,023,070.80/472,575.36
  6. Step 6: Final answer
    x = 427,305.44

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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.