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Finding the Fourth Proportional to 311,675.31, 430,124.58 and 175,714.38

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Solution

The fourth proportional to 311,675.31, 430,124.58 and 175,714.38 is: 242,492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,675.31 : 430,124.58 = 175,714.38 : x
  2. Step 2: Convert to fraction form
    311,675.31/430,124.58 = 175,714.38/x
  3. Step 3: Cross multiply
    311,675.31x = 430,124.58 × 175,714.38
  4. Step 4: Simplify right side
    311,675.31x = 75,579,073,897.46
  5. Step 5: Solve for x
    x = 75,579,073,897.46/311,675.31
  6. Step 6: Final answer
    x = 242,492.98

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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.