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Finding the Fourth Proportional to 523,877.52, 723,037.95 and 309,070.38

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Solution

The fourth proportional to 523,877.52, 723,037.95 and 309,070.38 is: 426,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,877.52 : 723,037.95 = 309,070.38 : x
  2. Step 2: Convert to fraction form
    523,877.52/723,037.95 = 309,070.38/x
  3. Step 3: Cross multiply
    523,877.52x = 723,037.95 × 309,070.38
  4. Step 4: Simplify right side
    523,877.52x = 223,469,613,960.92
  5. Step 5: Solve for x
    x = 223,469,613,960.92/523,877.52
  6. Step 6: Final answer
    x = 426,568.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.