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Finding the Fourth Proportional to 516,894.37, 775,341.73 and 213,284.10

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Solution

The fourth proportional to 516,894.37, 775,341.73 and 213,284.10 is: 319,926.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,894.37 : 775,341.73 = 213,284.10 : x
  2. Step 2: Convert to fraction form
    516,894.37/775,341.73 = 213,284.10/x
  3. Step 3: Cross multiply
    516,894.37x = 775,341.73 × 213,284.10
  4. Step 4: Simplify right side
    516,894.37x = 165,368,063,278.59
  5. Step 5: Solve for x
    x = 165,368,063,278.59/516,894.37
  6. Step 6: Final answer
    x = 319,926.22

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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.