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Finding the Fourth Proportional to 702,075, 1,052,266.36 and 322,471.92

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Solution

The fourth proportional to 702,075, 1,052,266.36 and 322,471.92 is: 483,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,075 : 1,052,266.36 = 322,471.92 : x
  2. Step 2: Convert to fraction form
    702,075/1,052,266.36 = 322,471.92/x
  3. Step 3: Cross multiply
    702,075x = 1,052,266.36 × 322,471.92
  4. Step 4: Simplify right side
    702,075x = 339,326,353,460.61
  5. Step 5: Solve for x
    x = 339,326,353,460.61/702,075
  6. Step 6: Final answer
    x = 483,319.24

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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.