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Finding the Fourth Proportional to 503,442.24, 694,752 and 288,595.20

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Solution

The fourth proportional to 503,442.24, 694,752 and 288,595.20 is: 398,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,442.24 : 694,752 = 288,595.20 : x
  2. Step 2: Convert to fraction form
    503,442.24/694,752 = 288,595.20/x
  3. Step 3: Cross multiply
    503,442.24x = 694,752 × 288,595.20
  4. Step 4: Simplify right side
    503,442.24x = 200,502,092,390.40
  5. Step 5: Solve for x
    x = 200,502,092,390.40/503,442.24
  6. Step 6: Final answer
    x = 398,262.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.