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Finding the Fourth Proportional to 510,565.86, 766,257.03 and 230,104.98

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Solution

The fourth proportional to 510,565.86, 766,257.03 and 230,104.98 is: 345,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,565.86 : 766,257.03 = 230,104.98 : x
  2. Step 2: Convert to fraction form
    510,565.86/766,257.03 = 230,104.98/x
  3. Step 3: Cross multiply
    510,565.86x = 766,257.03 × 230,104.98
  4. Step 4: Simplify right side
    510,565.86x = 176,319,558,563.01
  5. Step 5: Solve for x
    x = 176,319,558,563.01/510,565.86
  6. Step 6: Final answer
    x = 345,341.46

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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.