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Finding the Fourth Proportional to 506,283.82, 698,664 and 276,841.84

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Solution

The fourth proportional to 506,283.82, 698,664 and 276,841.84 is: 382,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,283.82 : 698,664 = 276,841.84 : x
  2. Step 2: Convert to fraction form
    506,283.82/698,664 = 276,841.84/x
  3. Step 3: Cross multiply
    506,283.82x = 698,664 × 276,841.84
  4. Step 4: Simplify right side
    506,283.82x = 193,419,427,301.76
  5. Step 5: Solve for x
    x = 193,419,427,301.76/506,283.82
  6. Step 6: Final answer
    x = 382,037.54

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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.