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Finding the Fourth Proportional to 705,914.71, 974,060.87 and 415,353.53

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Solution

The fourth proportional to 705,914.71, 974,060.87 and 415,353.53 is: 573,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,914.71 : 974,060.87 = 415,353.53 : x
  2. Step 2: Convert to fraction form
    705,914.71/974,060.87 = 415,353.53/x
  3. Step 3: Cross multiply
    705,914.71x = 974,060.87 × 415,353.53
  4. Step 4: Simplify right side
    705,914.71x = 404,579,620,789.37
  5. Step 5: Solve for x
    x = 404,579,620,789.37/705,914.71
  6. Step 6: Final answer
    x = 573,128.20

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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.