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Finding the Fourth Proportional to 523,004.34, 784,506.51 and 365,540.34

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Solution

The fourth proportional to 523,004.34, 784,506.51 and 365,540.34 is: 548,310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,004.34 : 784,506.51 = 365,540.34 : x
  2. Step 2: Convert to fraction form
    523,004.34/784,506.51 = 365,540.34/x
  3. Step 3: Cross multiply
    523,004.34x = 784,506.51 × 365,540.34
  4. Step 4: Simplify right side
    523,004.34x = 286,768,776,397.61
  5. Step 5: Solve for x
    x = 286,768,776,397.61/523,004.34
  6. Step 6: Final answer
    x = 548,310.51

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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.