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Finding the Fourth Proportional to 611,253.14, 916,758.41 and 307,566.32

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Solution

The fourth proportional to 611,253.14, 916,758.41 and 307,566.32 is: 461,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,253.14 : 916,758.41 = 307,566.32 : x
  2. Step 2: Convert to fraction form
    611,253.14/916,758.41 = 307,566.32/x
  3. Step 3: Cross multiply
    611,253.14x = 916,758.41 × 307,566.32
  4. Step 4: Simplify right side
    611,253.14x = 281,964,004,371.13
  5. Step 5: Solve for x
    x = 281,964,004,371.13/611,253.14
  6. Step 6: Final answer
    x = 461,288.44

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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.