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Finding the Fourth Proportional to 682,626.13, 942,024.46 and 380,820.13

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Solution

The fourth proportional to 682,626.13, 942,024.46 and 380,820.13 is: 525,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,626.13 : 942,024.46 = 380,820.13 : x
  2. Step 2: Convert to fraction form
    682,626.13/942,024.46 = 380,820.13/x
  3. Step 3: Cross multiply
    682,626.13x = 942,024.46 × 380,820.13
  4. Step 4: Simplify right side
    682,626.13x = 358,741,877,320.38
  5. Step 5: Solve for x
    x = 358,741,877,320.38/682,626.13
  6. Step 6: Final answer
    x = 525,532.00

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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.