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Finding the Fourth Proportional to 475,585.38, 713,471.31 and 176,068.26

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Solution

The fourth proportional to 475,585.38, 713,471.31 and 176,068.26 is: 264,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,585.38 : 713,471.31 = 176,068.26 : x
  2. Step 2: Convert to fraction form
    475,585.38/713,471.31 = 176,068.26/x
  3. Step 3: Cross multiply
    475,585.38x = 713,471.31 × 176,068.26
  4. Step 4: Simplify right side
    475,585.38x = 125,619,652,111.62
  5. Step 5: Solve for x
    x = 125,619,652,111.62/475,585.38
  6. Step 6: Final answer
    x = 264,136.91

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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.