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Finding the Fourth Proportional to 475,588.38, 713,475.82 and 176,071.26

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Solution

The fourth proportional to 475,588.38, 713,475.82 and 176,071.26 is: 264,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,588.38 : 713,475.82 = 176,071.26 : x
  2. Step 2: Convert to fraction form
    475,588.38/713,475.82 = 176,071.26/x
  3. Step 3: Cross multiply
    475,588.38x = 713,475.82 × 176,071.26
  4. Step 4: Simplify right side
    475,588.38x = 125,622,586,606.93
  5. Step 5: Solve for x
    x = 125,622,586,606.93/475,588.38
  6. Step 6: Final answer
    x = 264,141.41

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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.