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Finding the Fourth Proportional to 517,747.65, 776,304.36 and 201,835.50

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Solution

The fourth proportional to 517,747.65, 776,304.36 and 201,835.50 is: 302,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,747.65 : 776,304.36 = 201,835.50 : x
  2. Step 2: Convert to fraction form
    517,747.65/776,304.36 = 201,835.50/x
  3. Step 3: Cross multiply
    517,747.65x = 776,304.36 × 201,835.50
  4. Step 4: Simplify right side
    517,747.65x = 156,685,778,652.78
  5. Step 5: Solve for x
    x = 156,685,778,652.78/517,747.65
  6. Step 6: Final answer
    x = 302,629.63

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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.