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Finding the Fourth Proportional to 475,812.08, 713,713.25 and 160,266.86

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Solution

The fourth proportional to 475,812.08, 713,713.25 and 160,266.86 is: 240,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,812.08 : 713,713.25 = 160,266.86 : x
  2. Step 2: Convert to fraction form
    475,812.08/713,713.25 = 160,266.86/x
  3. Step 3: Cross multiply
    475,812.08x = 713,713.25 × 160,266.86
  4. Step 4: Simplify right side
    475,812.08x = 114,384,577,147.99
  5. Step 5: Solve for x
    x = 114,384,577,147.99/475,812.08
  6. Step 6: Final answer
    x = 240,398.64

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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.