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Finding the Fourth Proportional to 413,420.88, 570,549.00 and 229,680.98

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Solution

The fourth proportional to 413,420.88, 570,549.00 and 229,680.98 is: 316,975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,420.88 : 570,549.00 = 229,680.98 : x
  2. Step 2: Convert to fraction form
    413,420.88/570,549.00 = 229,680.98/x
  3. Step 3: Cross multiply
    413,420.88x = 570,549.00 × 229,680.98
  4. Step 4: Simplify right side
    413,420.88x = 131,044,255,523.52
  5. Step 5: Solve for x
    x = 131,044,255,523.52/413,420.88
  6. Step 6: Final answer
    x = 316,975.42

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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.