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Finding the Fourth Proportional to 802,907.84, 1,203,980.41 and 466,052.43

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Solution

The fourth proportional to 802,907.84, 1,203,980.41 and 466,052.43 is: 698,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,907.84 : 1,203,980.41 = 466,052.43 : x
  2. Step 2: Convert to fraction form
    802,907.84/1,203,980.41 = 466,052.43/x
  3. Step 3: Cross multiply
    802,907.84x = 1,203,980.41 × 466,052.43
  4. Step 4: Simplify right side
    802,907.84x = 561,117,998,228.84
  5. Step 5: Solve for x
    x = 561,117,998,228.84/802,907.84
  6. Step 6: Final answer
    x = 698,857.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.