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Finding the Fourth Proportional to 713,029.80, 1,068,825 and 446,977.16

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Solution

The fourth proportional to 713,029.80, 1,068,825 and 446,977.16 is: 670,014.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,029.80 : 1,068,825 = 446,977.16 : x
  2. Step 2: Convert to fraction form
    713,029.80/1,068,825 = 446,977.16/x
  3. Step 3: Cross multiply
    713,029.80x = 1,068,825 × 446,977.16
  4. Step 4: Simplify right side
    713,029.80x = 477,740,357,692.88
  5. Step 5: Solve for x
    x = 477,740,357,692.88/713,029.80
  6. Step 6: Final answer
    x = 670,014.57

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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.