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Finding the Fourth Proportional to 506,019.84, 758,937.60 and 206,423.04

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Solution

The fourth proportional to 506,019.84, 758,937.60 and 206,423.04 is: 309,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,019.84 : 758,937.60 = 206,423.04 : x
  2. Step 2: Convert to fraction form
    506,019.84/758,937.60 = 206,423.04/x
  3. Step 3: Cross multiply
    506,019.84x = 758,937.60 × 206,423.04
  4. Step 4: Simplify right side
    506,019.84x = 156,662,206,562.30
  5. Step 5: Solve for x
    x = 156,662,206,562.30/506,019.84
  6. Step 6: Final answer
    x = 309,596.96

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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.