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Finding the Fourth Proportional to 283,213.80, 424,820.70 and 233,447.40

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Solution

The fourth proportional to 283,213.80, 424,820.70 and 233,447.40 is: 350,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,213.80 : 424,820.70 = 233,447.40 : x
  2. Step 2: Convert to fraction form
    283,213.80/424,820.70 = 233,447.40/x
  3. Step 3: Cross multiply
    283,213.80x = 424,820.70 × 233,447.40
  4. Step 4: Simplify right side
    283,213.80x = 99,173,287,881.18
  5. Step 5: Solve for x
    x = 99,173,287,881.18/283,213.80
  6. Step 6: Final answer
    x = 350,171.10

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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.