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Finding the Fourth Proportional to 286,824.16, 430,294.32 and 120,612

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Solution

The fourth proportional to 286,824.16, 430,294.32 and 120,612 is: 180,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,824.16 : 430,294.32 = 120,612 : x
  2. Step 2: Convert to fraction form
    286,824.16/430,294.32 = 120,612/x
  3. Step 3: Cross multiply
    286,824.16x = 430,294.32 × 120,612
  4. Step 4: Simplify right side
    286,824.16x = 51,898,658,523.84
  5. Step 5: Solve for x
    x = 51,898,658,523.84/286,824.16
  6. Step 6: Final answer
    x = 180,942.42

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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.