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Finding the Fourth Proportional to 702,077.70, 968,674.77 and 447,219.30

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Solution

The fourth proportional to 702,077.70, 968,674.77 and 447,219.30 is: 617,040.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,077.70 : 968,674.77 = 447,219.30 : x
  2. Step 2: Convert to fraction form
    702,077.70/968,674.77 = 447,219.30/x
  3. Step 3: Cross multiply
    702,077.70x = 968,674.77 × 447,219.30
  4. Step 4: Simplify right side
    702,077.70x = 433,210,052,567.06
  5. Step 5: Solve for x
    x = 433,210,052,567.06/702,077.70
  6. Step 6: Final answer
    x = 617,040.04

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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.