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Finding the Fourth Proportional to 515,893.68, 711,934.74 and 286,451.46

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Solution

The fourth proportional to 515,893.68, 711,934.74 and 286,451.46 is: 395,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,893.68 : 711,934.74 = 286,451.46 : x
  2. Step 2: Convert to fraction form
    515,893.68/711,934.74 = 286,451.46/x
  3. Step 3: Cross multiply
    515,893.68x = 711,934.74 × 286,451.46
  4. Step 4: Simplify right side
    515,893.68x = 203,934,745,697.72
  5. Step 5: Solve for x
    x = 203,934,745,697.72/515,893.68
  6. Step 6: Final answer
    x = 395,303.83

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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.