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Finding the Fourth Proportional to 516,365.08, 712,582.38 and 286,921.42

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Solution

The fourth proportional to 516,365.08, 712,582.38 and 286,921.42 is: 395,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,365.08 : 712,582.38 = 286,921.42 : x
  2. Step 2: Convert to fraction form
    516,365.08/712,582.38 = 286,921.42/x
  3. Step 3: Cross multiply
    516,365.08x = 712,582.38 × 286,921.42
  4. Step 4: Simplify right side
    516,365.08x = 204,455,148,336.58
  5. Step 5: Solve for x
    x = 204,455,148,336.58/516,365.08
  6. Step 6: Final answer
    x = 395,950.76

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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.