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Finding the Fourth Proportional to 567,533.70, 783,201.84 and 312,894

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Solution

The fourth proportional to 567,533.70, 783,201.84 and 312,894 is: 431,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,533.70 : 783,201.84 = 312,894 : x
  2. Step 2: Convert to fraction form
    567,533.70/783,201.84 = 312,894/x
  3. Step 3: Cross multiply
    567,533.70x = 783,201.84 × 312,894
  4. Step 4: Simplify right side
    567,533.70x = 245,059,156,524.96
  5. Step 5: Solve for x
    x = 245,059,156,524.96/567,533.70
  6. Step 6: Final answer
    x = 431,796.66

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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.