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Finding the Fourth Proportional to 314,424.65, 471,570.85 and 101,211.63

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Solution

The fourth proportional to 314,424.65, 471,570.85 and 101,211.63 is: 151,796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,424.65 : 471,570.85 = 101,211.63 : x
  2. Step 2: Convert to fraction form
    314,424.65/471,570.85 = 101,211.63/x
  3. Step 3: Cross multiply
    314,424.65x = 471,570.85 × 101,211.63
  4. Step 4: Simplify right side
    314,424.65x = 47,728,452,604.78
  5. Step 5: Solve for x
    x = 47,728,452,604.78/314,424.65
  6. Step 6: Final answer
    x = 151,796.15

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1.5x scale

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.