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Finding the Fourth Proportional to 319,013.40, 478,520.82 and 299,527.32

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Solution

The fourth proportional to 319,013.40, 478,520.82 and 299,527.32 is: 449,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,013.40 : 478,520.82 = 299,527.32 : x
  2. Step 2: Convert to fraction form
    319,013.40/478,520.82 = 299,527.32/x
  3. Step 3: Cross multiply
    319,013.40x = 478,520.82 × 299,527.32
  4. Step 4: Simplify right side
    319,013.40x = 143,330,058,778.80
  5. Step 5: Solve for x
    x = 143,330,058,778.80/319,013.40
  6. Step 6: Final answer
    x = 449,291.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.