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Finding the Fourth Proportional to 524,096.11, 723,253.22 and 297,785.35

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Solution

The fourth proportional to 524,096.11, 723,253.22 and 297,785.35 is: 410,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,096.11 : 723,253.22 = 297,785.35 : x
  2. Step 2: Convert to fraction form
    524,096.11/723,253.22 = 297,785.35/x
  3. Step 3: Cross multiply
    524,096.11x = 723,253.22 × 297,785.35
  4. Step 4: Simplify right side
    524,096.11x = 215,374,213,256.33
  5. Step 5: Solve for x
    x = 215,374,213,256.33/524,096.11
  6. Step 6: Final answer
    x = 410,944.12

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1.5x scale

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.