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Finding the Fourth Proportional to 682,810.56, 942,373.44 and 381,024

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Solution

The fourth proportional to 682,810.56, 942,373.44 and 381,024 is: 525,866.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,810.56 : 942,373.44 = 381,024 : x
  2. Step 2: Convert to fraction form
    682,810.56/942,373.44 = 381,024/x
  3. Step 3: Cross multiply
    682,810.56x = 942,373.44 × 381,024
  4. Step 4: Simplify right side
    682,810.56x = 359,066,897,602.56
  5. Step 5: Solve for x
    x = 359,066,897,602.56/682,810.56
  6. Step 6: Final answer
    x = 525,866.06

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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.