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Finding the Fourth Proportional to 557,599.52, 769,462.26 and 315,877.16

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Solution

The fourth proportional to 557,599.52, 769,462.26 and 315,877.16 is: 435,896.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,599.52 : 769,462.26 = 315,877.16 : x
  2. Step 2: Convert to fraction form
    557,599.52/769,462.26 = 315,877.16/x
  3. Step 3: Cross multiply
    557,599.52x = 769,462.26 × 315,877.16
  4. Step 4: Simplify right side
    557,599.52x = 243,055,553,415.98
  5. Step 5: Solve for x
    x = 243,055,553,415.98/557,599.52
  6. Step 6: Final answer
    x = 435,896.27

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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.