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Finding the Fourth Proportional to 316,514.25, 474,888.02 and 166,748.49

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Solution

The fourth proportional to 316,514.25, 474,888.02 and 166,748.49 is: 250,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,514.25 : 474,888.02 = 166,748.49 : x
  2. Step 2: Convert to fraction form
    316,514.25/474,888.02 = 166,748.49/x
  3. Step 3: Cross multiply
    316,514.25x = 474,888.02 × 166,748.49
  4. Step 4: Simplify right side
    316,514.25x = 79,186,859,420.35
  5. Step 5: Solve for x
    x = 79,186,859,420.35/316,514.25
  6. Step 6: Final answer
    x = 250,184.18

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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.