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Finding the Fourth Proportional to 381,822.40, 572,733.60 and 319,614.40

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Solution

The fourth proportional to 381,822.40, 572,733.60 and 319,614.40 is: 479,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,822.40 : 572,733.60 = 319,614.40 : x
  2. Step 2: Convert to fraction form
    381,822.40/572,733.60 = 319,614.40/x
  3. Step 3: Cross multiply
    381,822.40x = 572,733.60 × 319,614.40
  4. Step 4: Simplify right side
    381,822.40x = 183,053,905,923.84
  5. Step 5: Solve for x
    x = 183,053,905,923.84/381,822.40
  6. Step 6: Final answer
    x = 479,421.60

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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.