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Finding the Fourth Proportional to 475,409.46, 713,108.68 and 115,582.35

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Solution

The fourth proportional to 475,409.46, 713,108.68 and 115,582.35 is: 173,372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,409.46 : 713,108.68 = 115,582.35 : x
  2. Step 2: Convert to fraction form
    475,409.46/713,108.68 = 115,582.35/x
  3. Step 3: Cross multiply
    475,409.46x = 713,108.68 × 115,582.35
  4. Step 4: Simplify right side
    475,409.46x = 82,422,777,039.80
  5. Step 5: Solve for x
    x = 82,422,777,039.80/475,409.46
  6. Step 6: Final answer
    x = 173,372.19

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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.