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Finding the Fourth Proportional to 610,412.10, 915,704.55 and 189,644.10

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Solution

The fourth proportional to 610,412.10, 915,704.55 and 189,644.10 is: 284,492.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,412.10 : 915,704.55 = 189,644.10 : x
  2. Step 2: Convert to fraction form
    610,412.10/915,704.55 = 189,644.10/x
  3. Step 3: Cross multiply
    610,412.10x = 915,704.55 × 189,644.10
  4. Step 4: Simplify right side
    610,412.10x = 173,657,965,250.66
  5. Step 5: Solve for x
    x = 173,657,965,250.66/610,412.10
  6. Step 6: Final answer
    x = 284,492.99

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Why These Related Problems?

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