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Finding the Fourth Proportional to 383,838.14, 574,986.13 and 191,132

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Solution

The fourth proportional to 383,838.14, 574,986.13 and 191,132 is: 286,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,838.14 : 574,986.13 = 191,132 : x
  2. Step 2: Convert to fraction form
    383,838.14/574,986.13 = 191,132/x
  3. Step 3: Cross multiply
    383,838.14x = 574,986.13 × 191,132
  4. Step 4: Simplify right side
    383,838.14x = 109,898,248,999.16
  5. Step 5: Solve for x
    x = 109,898,248,999.16/383,838.14
  6. Step 6: Final answer
    x = 286,314.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.