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Finding the Fourth Proportional to 416,877.98, 575,069.75 and 253,584.41

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Solution

The fourth proportional to 416,877.98, 575,069.75 and 253,584.41 is: 349,811.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,877.98 : 575,069.75 = 253,584.41 : x
  2. Step 2: Convert to fraction form
    416,877.98/575,069.75 = 253,584.41/x
  3. Step 3: Cross multiply
    416,877.98x = 575,069.75 × 253,584.41
  4. Step 4: Simplify right side
    416,877.98x = 145,828,721,994.68
  5. Step 5: Solve for x
    x = 145,828,721,994.68/416,877.98
  6. Step 6: Final answer
    x = 349,811.53

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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.