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Finding the Fourth Proportional to 342,946.00, 514,469.12 and 165,306.93

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Solution

The fourth proportional to 342,946.00, 514,469.12 and 165,306.93 is: 247,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,946.00 : 514,469.12 = 165,306.93 : x
  2. Step 2: Convert to fraction form
    342,946.00/514,469.12 = 165,306.93/x
  3. Step 3: Cross multiply
    342,946.00x = 514,469.12 × 165,306.93
  4. Step 4: Simplify right side
    342,946.00x = 85,045,308,981.06
  5. Step 5: Solve for x
    x = 85,045,308,981.06/342,946.00
  6. Step 6: Final answer
    x = 247,984.55

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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.