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Finding the Fourth Proportional to 403,031, 556,186.02 and 224,183

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Solution

The fourth proportional to 403,031, 556,186.02 and 224,183 is: 309,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,031 : 556,186.02 = 224,183 : x
  2. Step 2: Convert to fraction form
    403,031/556,186.02 = 224,183/x
  3. Step 3: Cross multiply
    403,031x = 556,186.02 × 224,183
  4. Step 4: Simplify right side
    403,031x = 124,687,450,521.66
  5. Step 5: Solve for x
    x = 124,687,450,521.66/403,031
  6. Step 6: Final answer
    x = 309,374.34

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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.