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Finding the Fourth Proportional to 777,802.50, 1,073,368.17 and 420,106.50

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Solution

The fourth proportional to 777,802.50, 1,073,368.17 and 420,106.50 is: 579,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,802.50 : 1,073,368.17 = 420,106.50 : x
  2. Step 2: Convert to fraction form
    777,802.50/1,073,368.17 = 420,106.50/x
  3. Step 3: Cross multiply
    777,802.50x = 1,073,368.17 × 420,106.50
  4. Step 4: Simplify right side
    777,802.50x = 450,928,945,110.11
  5. Step 5: Solve for x
    x = 450,928,945,110.11/777,802.50
  6. Step 6: Final answer
    x = 579,747.36

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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.