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Finding the Fourth Proportional to 471,084.29, 650,064.32 and 256,219.74

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Solution

The fourth proportional to 471,084.29, 650,064.32 and 256,219.74 is: 353,565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,084.29 : 650,064.32 = 256,219.74 : x
  2. Step 2: Convert to fraction form
    471,084.29/650,064.32 = 256,219.74/x
  3. Step 3: Cross multiply
    471,084.29x = 650,064.32 × 256,219.74
  4. Step 4: Simplify right side
    471,084.29x = 166,559,310,733.40
  5. Step 5: Solve for x
    x = 166,559,310,733.40/471,084.29
  6. Step 6: Final answer
    x = 353,565.84

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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.