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Finding the Fourth Proportional to 463,814.76, 695,955.58 and 345,723.24

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Solution

The fourth proportional to 463,814.76, 695,955.58 and 345,723.24 is: 518,758.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,814.76 : 695,955.58 = 345,723.24 : x
  2. Step 2: Convert to fraction form
    463,814.76/695,955.58 = 345,723.24/x
  3. Step 3: Cross multiply
    463,814.76x = 695,955.58 × 345,723.24
  4. Step 4: Simplify right side
    463,814.76x = 240,608,018,013.68
  5. Step 5: Solve for x
    x = 240,608,018,013.68/463,814.76
  6. Step 6: Final answer
    x = 518,758.86

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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.