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Finding the Fourth Proportional to 415,860.36, 623,694.96 and 116,362.13

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Solution

The fourth proportional to 415,860.36, 623,694.96 and 116,362.13 is: 174,516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,860.36 : 623,694.96 = 116,362.13 : x
  2. Step 2: Convert to fraction form
    415,860.36/623,694.96 = 116,362.13/x
  3. Step 3: Cross multiply
    415,860.36x = 623,694.96 × 116,362.13
  4. Step 4: Simplify right side
    415,860.36x = 72,574,470,897.39
  5. Step 5: Solve for x
    x = 72,574,470,897.39/415,860.36
  6. Step 6: Final answer
    x = 174,516.44

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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.