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Finding the Fourth Proportional to 517,719.40, 776,117.40 and 202,102.90

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Solution

The fourth proportional to 517,719.40, 776,117.40 and 202,102.90 is: 302,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,719.40 : 776,117.40 = 202,102.90 : x
  2. Step 2: Convert to fraction form
    517,719.40/776,117.40 = 202,102.90/x
  3. Step 3: Cross multiply
    517,719.40x = 776,117.40 × 202,102.90
  4. Step 4: Simplify right side
    517,719.40x = 156,855,577,280.46
  5. Step 5: Solve for x
    x = 156,855,577,280.46/517,719.40
  6. Step 6: Final answer
    x = 302,974.12

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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.