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Finding the Fourth Proportional to 316,021.74, 474,079.80 and 116,326.93

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Solution

The fourth proportional to 316,021.74, 474,079.80 and 116,326.93 is: 174,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,021.74 : 474,079.80 = 116,326.93 : x
  2. Step 2: Convert to fraction form
    316,021.74/474,079.80 = 116,326.93/x
  3. Step 3: Cross multiply
    316,021.74x = 474,079.80 × 116,326.93
  4. Step 4: Simplify right side
    316,021.74x = 55,148,247,709.01
  5. Step 5: Solve for x
    x = 55,148,247,709.01/316,021.74
  6. Step 6: Final answer
    x = 174,507.77

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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.