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Finding the Fourth Proportional to 516,913.85, 713,231.73 and 312,925.07

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Solution

The fourth proportional to 516,913.85, 713,231.73 and 312,925.07 is: 431,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,913.85 : 713,231.73 = 312,925.07 : x
  2. Step 2: Convert to fraction form
    516,913.85/713,231.73 = 312,925.07/x
  3. Step 3: Cross multiply
    516,913.85x = 713,231.73 × 312,925.07
  4. Step 4: Simplify right side
    516,913.85x = 223,188,090,819.55
  5. Step 5: Solve for x
    x = 223,188,090,819.55/516,913.85
  6. Step 6: Final answer
    x = 431,770.38

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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.