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Finding the Fourth Proportional to 382,585.30, 527,971.74 and 210,505.51

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Solution

The fourth proportional to 382,585.30, 527,971.74 and 210,505.51 is: 290,499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,585.30 : 527,971.74 = 210,505.51 : x
  2. Step 2: Convert to fraction form
    382,585.30/527,971.74 = 210,505.51/x
  3. Step 3: Cross multiply
    382,585.30x = 527,971.74 × 210,505.51
  4. Step 4: Simplify right side
    382,585.30x = 111,140,960,394.29
  5. Step 5: Solve for x
    x = 111,140,960,394.29/382,585.30
  6. Step 6: Final answer
    x = 290,499.82

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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.