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Finding the Fourth Proportional to 414,830.97, 572,292.95 and 253,634.49

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Solution

The fourth proportional to 414,830.97, 572,292.95 and 253,634.49 is: 349,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,830.97 : 572,292.95 = 253,634.49 : x
  2. Step 2: Convert to fraction form
    414,830.97/572,292.95 = 253,634.49/x
  3. Step 3: Cross multiply
    414,830.97x = 572,292.95 × 253,634.49
  4. Step 4: Simplify right side
    414,830.97x = 145,153,229,235.67
  5. Step 5: Solve for x
    x = 145,153,229,235.67/414,830.97
  6. Step 6: Final answer
    x = 349,909.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.