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Finding the Fourth Proportional to 557,041.92, 834,807.84 and 406,576.32

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Solution

The fourth proportional to 557,041.92, 834,807.84 and 406,576.32 is: 609,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,041.92 : 834,807.84 = 406,576.32 : x
  2. Step 2: Convert to fraction form
    557,041.92/834,807.84 = 406,576.32/x
  3. Step 3: Cross multiply
    557,041.92x = 834,807.84 × 406,576.32
  4. Step 4: Simplify right side
    557,041.92x = 339,413,099,494.35
  5. Step 5: Solve for x
    x = 339,413,099,494.35/557,041.92
  6. Step 6: Final answer
    x = 609,313.39

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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.