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Finding the Fourth Proportional to 406,525.56, 561,026.16 and 245,378.40

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Solution

The fourth proportional to 406,525.56, 561,026.16 and 245,378.40 is: 338,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,525.56 : 561,026.16 = 245,378.40 : x
  2. Step 2: Convert to fraction form
    406,525.56/561,026.16 = 245,378.40/x
  3. Step 3: Cross multiply
    406,525.56x = 561,026.16 × 245,378.40
  4. Step 4: Simplify right side
    406,525.56x = 137,663,701,498.94
  5. Step 5: Solve for x
    x = 137,663,701,498.94/406,525.56
  6. Step 6: Final answer
    x = 338,634.80

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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.