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Finding the Fourth Proportional to 597,863.64, 824,585.28 and 383,023.68

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Solution

The fourth proportional to 597,863.64, 824,585.28 and 383,023.68 is: 528,273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,863.64 : 824,585.28 = 383,023.68 : x
  2. Step 2: Convert to fraction form
    597,863.64/824,585.28 = 383,023.68/x
  3. Step 3: Cross multiply
    597,863.64x = 824,585.28 × 383,023.68
  4. Step 4: Simplify right side
    597,863.64x = 315,835,688,419.43
  5. Step 5: Solve for x
    x = 315,835,688,419.43/597,863.64
  6. Step 6: Final answer
    x = 528,273.79

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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.