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Finding the Fourth Proportional to 707,046.97, 975,745.17 and 384,777.48

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Solution

The fourth proportional to 707,046.97, 975,745.17 and 384,777.48 is: 531,004.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,046.97 : 975,745.17 = 384,777.48 : x
  2. Step 2: Convert to fraction form
    707,046.97/975,745.17 = 384,777.48/x
  3. Step 3: Cross multiply
    707,046.97x = 975,745.17 × 384,777.48
  4. Step 4: Simplify right side
    707,046.97x = 375,444,771,293.82
  5. Step 5: Solve for x
    x = 375,444,771,293.82/707,046.97
  6. Step 6: Final answer
    x = 531,004.00

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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.