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Finding the Fourth Proportional to 616,093.80, 924,228.18 and 189,665.12

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Solution

The fourth proportional to 616,093.80, 924,228.18 and 189,665.12 is: 284,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,093.80 : 924,228.18 = 189,665.12 : x
  2. Step 2: Convert to fraction form
    616,093.80/924,228.18 = 189,665.12/x
  3. Step 3: Cross multiply
    616,093.80x = 924,228.18 × 189,665.12
  4. Step 4: Simplify right side
    616,093.80x = 175,293,844,045.94
  5. Step 5: Solve for x
    x = 175,293,844,045.94/616,093.80
  6. Step 6: Final answer
    x = 284,524.60

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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.