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Finding the Fourth Proportional to 363,468.52, 500,932.74 and 295,709.86

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Solution

The fourth proportional to 363,468.52, 500,932.74 and 295,709.86 is: 407,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,468.52 : 500,932.74 = 295,709.86 : x
  2. Step 2: Convert to fraction form
    363,468.52/500,932.74 = 295,709.86/x
  3. Step 3: Cross multiply
    363,468.52x = 500,932.74 × 295,709.86
  4. Step 4: Simplify right side
    363,468.52x = 148,130,750,414.82
  5. Step 5: Solve for x
    x = 148,130,750,414.82/363,468.52
  6. Step 6: Final answer
    x = 407,547.68

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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.