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Finding the Fourth Proportional to 231,678.16, 346,885.14 and 175,347.88

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Solution

The fourth proportional to 231,678.16, 346,885.14 and 175,347.88 is: 262,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,678.16 : 346,885.14 = 175,347.88 : x
  2. Step 2: Convert to fraction form
    231,678.16/346,885.14 = 175,347.88/x
  3. Step 3: Cross multiply
    231,678.16x = 346,885.14 × 175,347.88
  4. Step 4: Simplify right side
    231,678.16x = 60,825,573,902.50
  5. Step 5: Solve for x
    x = 60,825,573,902.50/231,678.16
  6. Step 6: Final answer
    x = 262,543.41

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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.