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Finding the Fourth Proportional to 273,588.56, 410,512.80 and 189,478.16

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Solution

The fourth proportional to 273,588.56, 410,512.80 and 189,478.16 is: 284,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,588.56 : 410,512.80 = 189,478.16 : x
  2. Step 2: Convert to fraction form
    273,588.56/410,512.80 = 189,478.16/x
  3. Step 3: Cross multiply
    273,588.56x = 410,512.80 × 189,478.16
  4. Step 4: Simplify right side
    273,588.56x = 77,783,210,000.45
  5. Step 5: Solve for x
    x = 77,783,210,000.45/273,588.56
  6. Step 6: Final answer
    x = 284,307.25

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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.