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Finding the Fourth Proportional to 469,894.72, 704,835.93 and 114,911.81

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Solution

The fourth proportional to 469,894.72, 704,835.93 and 114,911.81 is: 172,366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,894.72 : 704,835.93 = 114,911.81 : x
  2. Step 2: Convert to fraction form
    469,894.72/704,835.93 = 114,911.81/x
  3. Step 3: Cross multiply
    469,894.72x = 704,835.93 × 114,911.81
  4. Step 4: Simplify right side
    469,894.72x = 80,993,975,337.53
  5. Step 5: Solve for x
    x = 80,993,975,337.53/469,894.72
  6. Step 6: Final answer
    x = 172,366.22

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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.