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Finding the Fourth Proportional to 475,407.96, 713,106.44 and 115,580.85

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Solution

The fourth proportional to 475,407.96, 713,106.44 and 115,580.85 is: 173,369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,407.96 : 713,106.44 = 115,580.85 : x
  2. Step 2: Convert to fraction form
    475,407.96/713,106.44 = 115,580.85/x
  3. Step 3: Cross multiply
    475,407.96x = 713,106.44 × 115,580.85
  4. Step 4: Simplify right side
    475,407.96x = 82,421,448,475.67
  5. Step 5: Solve for x
    x = 82,421,448,475.67/475,407.96
  6. Step 6: Final answer
    x = 173,369.94

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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.