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Finding the Fourth Proportional to 524,082.66, 723,236.49 and 297,740.58

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Solution

The fourth proportional to 524,082.66, 723,236.49 and 297,740.58 is: 410,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,082.66 : 723,236.49 = 297,740.58 : x
  2. Step 2: Convert to fraction form
    524,082.66/723,236.49 = 297,740.58/x
  3. Step 3: Cross multiply
    524,082.66x = 723,236.49 × 297,740.58
  4. Step 4: Simplify right side
    524,082.66x = 215,336,852,009.76
  5. Step 5: Solve for x
    x = 215,336,852,009.76/524,082.66
  6. Step 6: Final answer
    x = 410,883.37

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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.