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Finding the Fourth Proportional to 406,818.24, 561,438.72 and 245,712.48

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Solution

The fourth proportional to 406,818.24, 561,438.72 and 245,712.48 is: 339,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,818.24 : 561,438.72 = 245,712.48 : x
  2. Step 2: Convert to fraction form
    406,818.24/561,438.72 = 245,712.48/x
  3. Step 3: Cross multiply
    406,818.24x = 561,438.72 × 245,712.48
  4. Step 4: Simplify right side
    406,818.24x = 137,952,500,259.23
  5. Step 5: Solve for x
    x = 137,952,500,259.23/406,818.24
  6. Step 6: Final answer
    x = 339,101.07

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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.