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Finding the Fourth Proportional to 378,389.84, 567,723.17 and 176,082.46

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Solution

The fourth proportional to 378,389.84, 567,723.17 and 176,082.46 is: 264,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,389.84 : 567,723.17 = 176,082.46 : x
  2. Step 2: Convert to fraction form
    378,389.84/567,723.17 = 176,082.46/x
  3. Step 3: Cross multiply
    378,389.84x = 567,723.17 × 176,082.46
  4. Step 4: Simplify right side
    378,389.84x = 99,966,091,393.50
  5. Step 5: Solve for x
    x = 99,966,091,393.50/378,389.84
  6. Step 6: Final answer
    x = 264,188.10

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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.