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Finding the Fourth Proportional to 463,744.69, 695,485.81 and 210,883.75

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Solution

The fourth proportional to 463,744.69, 695,485.81 and 210,883.75 is: 316,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,744.69 : 695,485.81 = 210,883.75 : x
  2. Step 2: Convert to fraction form
    463,744.69/695,485.81 = 210,883.75/x
  3. Step 3: Cross multiply
    463,744.69x = 695,485.81 × 210,883.75
  4. Step 4: Simplify right side
    463,744.69x = 146,666,655,684.59
  5. Step 5: Solve for x
    x = 146,666,655,684.59/463,744.69
  6. Step 6: Final answer
    x = 316,265.95

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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.