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Finding the Fourth Proportional to 802,102.50, 1,106,901.45 and 444,406.50

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Solution

The fourth proportional to 802,102.50, 1,106,901.45 and 444,406.50 is: 613,280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,102.50 : 1,106,901.45 = 444,406.50 : x
  2. Step 2: Convert to fraction form
    802,102.50/1,106,901.45 = 444,406.50/x
  3. Step 3: Cross multiply
    802,102.50x = 1,106,901.45 × 444,406.50
  4. Step 4: Simplify right side
    802,102.50x = 491,914,199,239.43
  5. Step 5: Solve for x
    x = 491,914,199,239.43/802,102.50
  6. Step 6: Final answer
    x = 613,280.97

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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.