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Finding the Fourth Proportional to 513,539.98, 770,159.40 and 193,460.91

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Solution

The fourth proportional to 513,539.98, 770,159.40 and 193,460.91 is: 290,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,539.98 : 770,159.40 = 193,460.91 : x
  2. Step 2: Convert to fraction form
    513,539.98/770,159.40 = 193,460.91/x
  3. Step 3: Cross multiply
    513,539.98x = 770,159.40 × 193,460.91
  4. Step 4: Simplify right side
    513,539.98x = 148,995,737,328.35
  5. Step 5: Solve for x
    x = 148,995,737,328.35/513,539.98
  6. Step 6: Final answer
    x = 290,134.64

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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.