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Finding the Fourth Proportional to 517,082.16, 713,333.88 and 302,231.28

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Solution

The fourth proportional to 517,082.16, 713,333.88 and 302,231.28 is: 416,939.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,082.16 : 713,333.88 = 302,231.28 : x
  2. Step 2: Convert to fraction form
    517,082.16/713,333.88 = 302,231.28/x
  3. Step 3: Cross multiply
    517,082.16x = 713,333.88 × 302,231.28
  4. Step 4: Simplify right side
    517,082.16x = 215,591,811,619.77
  5. Step 5: Solve for x
    x = 215,591,811,619.77/517,082.16
  6. Step 6: Final answer
    x = 416,939.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.