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Finding the Fourth Proportional to 314,431.70, 471,215.55 and 201,766.10

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Solution

The fourth proportional to 314,431.70, 471,215.55 and 201,766.10 is: 302,371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,431.70 : 471,215.55 = 201,766.10 : x
  2. Step 2: Convert to fraction form
    314,431.70/471,215.55 = 201,766.10/x
  3. Step 3: Cross multiply
    314,431.70x = 471,215.55 × 201,766.10
  4. Step 4: Simplify right side
    314,431.70x = 95,075,323,782.86
  5. Step 5: Solve for x
    x = 95,075,323,782.86/314,431.70
  6. Step 6: Final answer
    x = 302,371.94

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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.