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Finding the Fourth Proportional to 517,732.65, 776,137.28 and 202,116.15

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Solution

The fourth proportional to 517,732.65, 776,137.28 and 202,116.15 is: 302,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,732.65 : 776,137.28 = 202,116.15 : x
  2. Step 2: Convert to fraction form
    517,732.65/776,137.28 = 202,116.15/x
  3. Step 3: Cross multiply
    517,732.65x = 776,137.28 × 202,116.15
  4. Step 4: Simplify right side
    517,732.65x = 156,869,877,894.49
  5. Step 5: Solve for x
    x = 156,869,877,894.49/517,732.65
  6. Step 6: Final answer
    x = 302,993.98

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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.