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Finding the Fourth Proportional to 705,588.88, 974,116.32 and 464,571.44

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Solution

The fourth proportional to 705,588.88, 974,116.32 and 464,571.44 is: 641,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,588.88 : 974,116.32 = 464,571.44 : x
  2. Step 2: Convert to fraction form
    705,588.88/974,116.32 = 464,571.44/x
  3. Step 3: Cross multiply
    705,588.88x = 974,116.32 × 464,571.44
  4. Step 4: Simplify right side
    705,588.88x = 452,546,621,509.90
  5. Step 5: Solve for x
    x = 452,546,621,509.90/705,588.88
  6. Step 6: Final answer
    x = 641,374.37

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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.