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Finding the Fourth Proportional to 333,471.21, 500,214.24 and 120,256.34

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Solution

The fourth proportional to 333,471.21, 500,214.24 and 120,256.34 is: 180,387.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,471.21 : 500,214.24 = 120,256.34 : x
  2. Step 2: Convert to fraction form
    333,471.21/500,214.24 = 120,256.34/x
  3. Step 3: Cross multiply
    333,471.21x = 500,214.24 × 120,256.34
  4. Step 4: Simplify right side
    333,471.21x = 60,153,931,217.21
  5. Step 5: Solve for x
    x = 60,153,931,217.21/333,471.21
  6. Step 6: Final answer
    x = 180,387.18

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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.