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Finding the Fourth Proportional to 517,658.07, 776,370.47 and 201,952.47

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Solution

The fourth proportional to 517,658.07, 776,370.47 and 201,952.47 is: 302,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,658.07 : 776,370.47 = 201,952.47 : x
  2. Step 2: Convert to fraction form
    517,658.07/776,370.47 = 201,952.47/x
  3. Step 3: Cross multiply
    517,658.07x = 776,370.47 × 201,952.47
  4. Step 4: Simplify right side
    517,658.07x = 156,789,933,041.80
  5. Step 5: Solve for x
    x = 156,789,933,041.80/517,658.07
  6. Step 6: Final answer
    x = 302,883.20

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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.