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Finding the Fourth Proportional to 706,460.31, 974,922.14 and 384,177.38

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Solution

The fourth proportional to 706,460.31, 974,922.14 and 384,177.38 is: 530,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,460.31 : 974,922.14 = 384,177.38 : x
  2. Step 2: Convert to fraction form
    706,460.31/974,922.14 = 384,177.38/x
  3. Step 3: Cross multiply
    706,460.31x = 974,922.14 × 384,177.38
  4. Step 4: Simplify right side
    706,460.31x = 374,543,029,535.03
  5. Step 5: Solve for x
    x = 374,543,029,535.03/706,460.31
  6. Step 6: Final answer
    x = 530,168.54

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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.