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Finding the Fourth Proportional to 382,498.02, 527,865.93 and 212,728.50

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Solution

The fourth proportional to 382,498.02, 527,865.93 and 212,728.50 is: 293,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,498.02 : 527,865.93 = 212,728.50 : x
  2. Step 2: Convert to fraction form
    382,498.02/527,865.93 = 212,728.50/x
  3. Step 3: Cross multiply
    382,498.02x = 527,865.93 × 212,728.50
  4. Step 4: Simplify right side
    382,498.02x = 112,292,127,490.01
  5. Step 5: Solve for x
    x = 112,292,127,490.01/382,498.02
  6. Step 6: Final answer
    x = 293,575.71

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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.