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Finding the Fourth Proportional to 517,730.41, 776,278.48 and 201,818.25

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Solution

The fourth proportional to 517,730.41, 776,278.48 and 201,818.25 is: 302,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,730.41 : 776,278.48 = 201,818.25 : x
  2. Step 2: Convert to fraction form
    517,730.41/776,278.48 = 201,818.25/x
  3. Step 3: Cross multiply
    517,730.41x = 776,278.48 × 201,818.25
  4. Step 4: Simplify right side
    517,730.41x = 156,667,163,337.17
  5. Step 5: Solve for x
    x = 156,667,163,337.17/517,730.41
  6. Step 6: Final answer
    x = 302,603.75

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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.