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Finding the Fourth Proportional to 471,364.65, 650,496.78 and 256,518.32

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Solution

The fourth proportional to 471,364.65, 650,496.78 and 256,518.32 is: 354,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,364.65 : 650,496.78 = 256,518.32 : x
  2. Step 2: Convert to fraction form
    471,364.65/650,496.78 = 256,518.32/x
  3. Step 3: Cross multiply
    471,364.65x = 650,496.78 × 256,518.32
  4. Step 4: Simplify right side
    471,364.65x = 166,864,342,797.25
  5. Step 5: Solve for x
    x = 166,864,342,797.25/471,364.65
  6. Step 6: Final answer
    x = 354,002.67

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1.5x scale

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.