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Finding the Fourth Proportional to 502,734.70, 754,461.90 and 182,885.94

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Solution

The fourth proportional to 502,734.70, 754,461.90 and 182,885.94 is: 274,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,734.70 : 754,461.90 = 182,885.94 : x
  2. Step 2: Convert to fraction form
    502,734.70/754,461.90 = 182,885.94/x
  3. Step 3: Cross multiply
    502,734.70x = 754,461.90 × 182,885.94
  4. Step 4: Simplify right side
    502,734.70x = 137,980,473,775.69
  5. Step 5: Solve for x
    x = 137,980,473,775.69/502,734.70
  6. Step 6: Final answer
    x = 274,459.82

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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.