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Finding the Fourth Proportional to 557,374.92, 769,195.56 and 315,652.29

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Solution

The fourth proportional to 557,374.92, 769,195.56 and 315,652.29 is: 435,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,374.92 : 769,195.56 = 315,652.29 : x
  2. Step 2: Convert to fraction form
    557,374.92/769,195.56 = 315,652.29/x
  3. Step 3: Cross multiply
    557,374.92x = 769,195.56 × 315,652.29
  4. Step 4: Simplify right side
    557,374.92x = 242,798,339,971.83
  5. Step 5: Solve for x
    x = 242,798,339,971.83/557,374.92
  6. Step 6: Final answer
    x = 435,610.45

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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.