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Finding the Fourth Proportional to 382,204.90, 527,448.66 and 210,130.32

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Solution

The fourth proportional to 382,204.90, 527,448.66 and 210,130.32 is: 289,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,204.90 : 527,448.66 = 210,130.32 : x
  2. Step 2: Convert to fraction form
    382,204.90/527,448.66 = 210,130.32/x
  3. Step 3: Cross multiply
    382,204.90x = 527,448.66 × 210,130.32
  4. Step 4: Simplify right side
    382,204.90x = 110,832,955,709.37
  5. Step 5: Solve for x
    x = 110,832,955,709.37/382,204.90
  6. Step 6: Final answer
    x = 289,983.08

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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.