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Finding the Fourth Proportional to 567,844.57, 783,624 and 326,142.80

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Solution

The fourth proportional to 567,844.57, 783,624 and 326,142.80 is: 450,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,844.57 : 783,624 = 326,142.80 : x
  2. Step 2: Convert to fraction form
    567,844.57/783,624 = 326,142.80/x
  3. Step 3: Cross multiply
    567,844.57x = 783,624 × 326,142.80
  4. Step 4: Simplify right side
    567,844.57x = 255,573,325,507.20
  5. Step 5: Solve for x
    x = 255,573,325,507.20/567,844.57
  6. Step 6: Final answer
    x = 450,076.20

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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.