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Finding the Fourth Proportional to 523,876.52, 723,036.57 and 309,069.38

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Solution

The fourth proportional to 523,876.52, 723,036.57 and 309,069.38 is: 426,567.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,876.52 : 723,036.57 = 309,069.38 : x
  2. Step 2: Convert to fraction form
    523,876.52/723,036.57 = 309,069.38/x
  3. Step 3: Cross multiply
    523,876.52x = 723,036.57 × 309,069.38
  4. Step 4: Simplify right side
    523,876.52x = 223,468,464,407.23
  5. Step 5: Solve for x
    x = 223,468,464,407.23/523,876.52
  6. Step 6: Final answer
    x = 426,567.06

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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.