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Finding the Fourth Proportional to 427,814.18, 590,390.54 and 234,218.65

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Solution

The fourth proportional to 427,814.18, 590,390.54 and 234,218.65 is: 323,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,814.18 : 590,390.54 = 234,218.65 : x
  2. Step 2: Convert to fraction form
    427,814.18/590,390.54 = 234,218.65/x
  3. Step 3: Cross multiply
    427,814.18x = 590,390.54 × 234,218.65
  4. Step 4: Simplify right side
    427,814.18x = 138,280,474,361.14
  5. Step 5: Solve for x
    x = 138,280,474,361.14/427,814.18
  6. Step 6: Final answer
    x = 323,225.55

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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.