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Finding the Fourth Proportional to 415,293.14, 573,109.90 and 245,525.78

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Solution

The fourth proportional to 415,293.14, 573,109.90 and 245,525.78 is: 338,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,293.14 : 573,109.90 = 245,525.78 : x
  2. Step 2: Convert to fraction form
    415,293.14/573,109.90 = 245,525.78/x
  3. Step 3: Cross multiply
    415,293.14x = 573,109.90 × 245,525.78
  4. Step 4: Simplify right side
    415,293.14x = 140,713,255,223.22
  5. Step 5: Solve for x
    x = 140,713,255,223.22/415,293.14
  6. Step 6: Final answer
    x = 338,828.75

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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.