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Finding the Fourth Proportional to 316,909.91, 475,364.73 and 77,022.54

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Solution

The fourth proportional to 316,909.91, 475,364.73 and 77,022.54 is: 115,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,909.91 : 475,364.73 = 77,022.54 : x
  2. Step 2: Convert to fraction form
    316,909.91/475,364.73 = 77,022.54/x
  3. Step 3: Cross multiply
    316,909.91x = 475,364.73 × 77,022.54
  4. Step 4: Simplify right side
    316,909.91x = 36,613,798,931.01
  5. Step 5: Solve for x
    x = 36,613,798,931.01/316,909.91
  6. Step 6: Final answer
    x = 115,533.78

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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.