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Finding the Fourth Proportional to 616,107.12, 923,927.40 and 241,926

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Solution

The fourth proportional to 616,107.12, 923,927.40 and 241,926 is: 362,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,107.12 : 923,927.40 = 241,926 : x
  2. Step 2: Convert to fraction form
    616,107.12/923,927.40 = 241,926/x
  3. Step 3: Cross multiply
    616,107.12x = 923,927.40 × 241,926
  4. Step 4: Simplify right side
    616,107.12x = 223,522,060,172.40
  5. Step 5: Solve for x
    x = 223,522,060,172.40/616,107.12
  6. Step 6: Final answer
    x = 362,797.40

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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.