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Finding the Fourth Proportional to 415,932.06, 623,873.49 and 116,406.01

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Solution

The fourth proportional to 415,932.06, 623,873.49 and 116,406.01 is: 174,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,932.06 : 623,873.49 = 116,406.01 : x
  2. Step 2: Convert to fraction form
    415,932.06/623,873.49 = 116,406.01/x
  3. Step 3: Cross multiply
    415,932.06x = 623,873.49 × 116,406.01
  4. Step 4: Simplify right side
    415,932.06x = 72,622,624,713.78
  5. Step 5: Solve for x
    x = 72,622,624,713.78/415,932.06
  6. Step 6: Final answer
    x = 174,602.13

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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.