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Finding the Fourth Proportional to 380,947.20, 571,420.80 and 100,492.80

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Solution

The fourth proportional to 380,947.20, 571,420.80 and 100,492.80 is: 150,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,947.20 : 571,420.80 = 100,492.80 : x
  2. Step 2: Convert to fraction form
    380,947.20/571,420.80 = 100,492.80/x
  3. Step 3: Cross multiply
    380,947.20x = 571,420.80 × 100,492.80
  4. Step 4: Simplify right side
    380,947.20x = 57,423,676,170.24
  5. Step 5: Solve for x
    x = 57,423,676,170.24/380,947.20
  6. Step 6: Final answer
    x = 150,739.20

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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.