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Finding the Fourth Proportional to 513,024.44, 707,946.05 and 283,568.04

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Solution

The fourth proportional to 513,024.44, 707,946.05 and 283,568.04 is: 391,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,024.44 : 707,946.05 = 283,568.04 : x
  2. Step 2: Convert to fraction form
    513,024.44/707,946.05 = 283,568.04/x
  3. Step 3: Cross multiply
    513,024.44x = 707,946.05 × 283,568.04
  4. Step 4: Simplify right side
    513,024.44x = 200,750,872,406.40
  5. Step 5: Solve for x
    x = 200,750,872,406.40/513,024.44
  6. Step 6: Final answer
    x = 391,308.60

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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.