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Finding the Fourth Proportional to 400,594.86, 600,331.77 and 232,070.31

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Solution

The fourth proportional to 400,594.86, 600,331.77 and 232,070.31 is: 347,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,594.86 : 600,331.77 = 232,070.31 : x
  2. Step 2: Convert to fraction form
    400,594.86/600,331.77 = 232,070.31/x
  3. Step 3: Cross multiply
    400,594.86x = 600,331.77 × 232,070.31
  4. Step 4: Simplify right side
    400,594.86x = 139,319,179,966.75
  5. Step 5: Solve for x
    x = 139,319,179,966.75/400,594.86
  6. Step 6: Final answer
    x = 347,780.75

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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.