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Finding the Fourth Proportional to 469,407.40, 704,456.70 and 189,125.80

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Solution

The fourth proportional to 469,407.40, 704,456.70 and 189,125.80 is: 283,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,407.40 : 704,456.70 = 189,125.80 : x
  2. Step 2: Convert to fraction form
    469,407.40/704,456.70 = 189,125.80/x
  3. Step 3: Cross multiply
    469,407.40x = 704,456.70 × 189,125.80
  4. Step 4: Simplify right side
    469,407.40x = 133,230,936,952.86
  5. Step 5: Solve for x
    x = 133,230,936,952.86/469,407.40
  6. Step 6: Final answer
    x = 283,827.94

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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.