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Finding the Fourth Proportional to 522,319.05, 783,478.83 and 344,784.57

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Solution

The fourth proportional to 522,319.05, 783,478.83 and 344,784.57 is: 517,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,319.05 : 783,478.83 = 344,784.57 : x
  2. Step 2: Convert to fraction form
    522,319.05/783,478.83 = 344,784.57/x
  3. Step 3: Cross multiply
    522,319.05x = 783,478.83 × 344,784.57
  4. Step 4: Simplify right side
    522,319.05x = 270,131,411,505.65
  5. Step 5: Solve for x
    x = 270,131,411,505.65/522,319.05
  6. Step 6: Final answer
    x = 517,177.02

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Why These Related Problems?

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