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Finding the Fourth Proportional to 316,023.87, 474,222.90 and 116,484.42

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Solution

The fourth proportional to 316,023.87, 474,222.90 and 116,484.42 is: 174,795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,023.87 : 474,222.90 = 116,484.42 : x
  2. Step 2: Convert to fraction form
    316,023.87/474,222.90 = 116,484.42/x
  3. Step 3: Cross multiply
    316,023.87x = 474,222.90 × 116,484.42
  4. Step 4: Simplify right side
    316,023.87x = 55,239,579,457.22
  5. Step 5: Solve for x
    x = 55,239,579,457.22/316,023.87
  6. Step 6: Final answer
    x = 174,795.59

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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.