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Finding the Fourth Proportional to 512,269.92, 706,981.14 and 365,011.92

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Solution

The fourth proportional to 512,269.92, 706,981.14 and 365,011.92 is: 503,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,269.92 : 706,981.14 = 365,011.92 : x
  2. Step 2: Convert to fraction form
    512,269.92/706,981.14 = 365,011.92/x
  3. Step 3: Cross multiply
    512,269.92x = 706,981.14 × 365,011.92
  4. Step 4: Simplify right side
    512,269.92x = 258,056,543,315.19
  5. Step 5: Solve for x
    x = 258,056,543,315.19/512,269.92
  6. Step 6: Final answer
    x = 503,751.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.