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Finding the Fourth Proportional to 400,686.16, 600,075.12 and 231,850.67

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Solution

The fourth proportional to 400,686.16, 600,075.12 and 231,850.67 is: 347,223.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,686.16 : 600,075.12 = 231,850.67 : x
  2. Step 2: Convert to fraction form
    400,686.16/600,075.12 = 231,850.67/x
  3. Step 3: Cross multiply
    400,686.16x = 600,075.12 × 231,850.67
  4. Step 4: Simplify right side
    400,686.16x = 139,127,815,621.96
  5. Step 5: Solve for x
    x = 139,127,815,621.96/400,686.16
  6. Step 6: Final answer
    x = 347,223.92

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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.