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Finding the Fourth Proportional to 406,782, 561,359.16 and 236,983.32

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Solution

The fourth proportional to 406,782, 561,359.16 and 236,983.32 is: 327,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,782 : 561,359.16 = 236,983.32 : x
  2. Step 2: Convert to fraction form
    406,782/561,359.16 = 236,983.32/x
  3. Step 3: Cross multiply
    406,782x = 561,359.16 × 236,983.32
  4. Step 4: Simplify right side
    406,782x = 133,032,757,449.21
  5. Step 5: Solve for x
    x = 133,032,757,449.21/406,782
  6. Step 6: Final answer
    x = 327,036.98

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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.