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Finding the Fourth Proportional to 513,354.93, 770,085.20 and 193,775.98

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Solution

The fourth proportional to 513,354.93, 770,085.20 and 193,775.98 is: 290,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,354.93 : 770,085.20 = 193,775.98 : x
  2. Step 2: Convert to fraction form
    513,354.93/770,085.20 = 193,775.98/x
  3. Step 3: Cross multiply
    513,354.93x = 770,085.20 × 193,775.98
  4. Step 4: Simplify right side
    513,354.93x = 149,224,014,313.50
  5. Step 5: Solve for x
    x = 149,224,014,313.50/513,354.93
  6. Step 6: Final answer
    x = 290,683.90

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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.