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Finding the Fourth Proportional to 513,336.90, 770,136.58 and 197,709.06

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Solution

The fourth proportional to 513,336.90, 770,136.58 and 197,709.06 is: 296,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,336.90 : 770,136.58 = 197,709.06 : x
  2. Step 2: Convert to fraction form
    513,336.90/770,136.58 = 197,709.06/x
  3. Step 3: Cross multiply
    513,336.90x = 770,136.58 × 197,709.06
  4. Step 4: Simplify right side
    513,336.90x = 152,262,979,303.42
  5. Step 5: Solve for x
    x = 152,262,979,303.42/513,336.90
  6. Step 6: Final answer
    x = 296,614.13

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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.