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Finding the Fourth Proportional to 465,476.72, 697,380.12 and 282,775.28

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Solution

The fourth proportional to 465,476.72, 697,380.12 and 282,775.28 is: 423,655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,476.72 : 697,380.12 = 282,775.28 : x
  2. Step 2: Convert to fraction form
    465,476.72/697,380.12 = 282,775.28/x
  3. Step 3: Cross multiply
    465,476.72x = 697,380.12 × 282,775.28
  4. Step 4: Simplify right side
    465,476.72x = 197,201,858,699.43
  5. Step 5: Solve for x
    x = 197,201,858,699.43/465,476.72
  6. Step 6: Final answer
    x = 423,655.69

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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.