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Finding the Fourth Proportional to 382,191.93, 527,431.59 and 210,117.15

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Solution

The fourth proportional to 382,191.93, 527,431.59 and 210,117.15 is: 289,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,191.93 : 527,431.59 = 210,117.15 : x
  2. Step 2: Convert to fraction form
    382,191.93/527,431.59 = 210,117.15/x
  3. Step 3: Cross multiply
    382,191.93x = 527,431.59 × 210,117.15
  4. Step 4: Simplify right side
    382,191.93x = 110,822,422,510.77
  5. Step 5: Solve for x
    x = 110,822,422,510.77/382,191.93
  6. Step 6: Final answer
    x = 289,965.37

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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.