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Finding the Fourth Proportional to 523,006.59, 784,509.89 and 365,542.59

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Solution

The fourth proportional to 523,006.59, 784,509.89 and 365,542.59 is: 548,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,006.59 : 784,509.89 = 365,542.59 : x
  2. Step 2: Convert to fraction form
    523,006.59/784,509.89 = 365,542.59/x
  3. Step 3: Cross multiply
    523,006.59x = 784,509.89 × 365,542.59
  4. Step 4: Simplify right side
    523,006.59x = 286,771,777,071.22
  5. Step 5: Solve for x
    x = 286,771,777,071.22/523,006.59
  6. Step 6: Final answer
    x = 548,313.89

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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.