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Finding the Fourth Proportional to 427,475.50, 590,151.63 and 320,006.86

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Solution

The fourth proportional to 427,475.50, 590,151.63 and 320,006.86 is: 441,785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,475.50 : 590,151.63 = 320,006.86 : x
  2. Step 2: Convert to fraction form
    427,475.50/590,151.63 = 320,006.86/x
  3. Step 3: Cross multiply
    427,475.50x = 590,151.63 × 320,006.86
  4. Step 4: Simplify right side
    427,475.50x = 188,852,570,040.18
  5. Step 5: Solve for x
    x = 188,852,570,040.18/427,475.50
  6. Step 6: Final answer
    x = 441,785.72

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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.