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Finding the Fourth Proportional to 616,133.14, 924,287.87 and 189,705.04

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Solution

The fourth proportional to 616,133.14, 924,287.87 and 189,705.04 is: 284,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,133.14 : 924,287.87 = 189,705.04 : x
  2. Step 2: Convert to fraction form
    616,133.14/924,287.87 = 189,705.04/x
  3. Step 3: Cross multiply
    616,133.14x = 924,287.87 × 189,705.04
  4. Step 4: Simplify right side
    616,133.14x = 175,342,068,268.09
  5. Step 5: Solve for x
    x = 175,342,068,268.09/616,133.14
  6. Step 6: Final answer
    x = 284,584.71

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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.