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Finding the Fourth Proportional to 594,429, 820,311.92 and 339,785.68

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Solution

The fourth proportional to 594,429, 820,311.92 and 339,785.68 is: 468,904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,429 : 820,311.92 = 339,785.68 : x
  2. Step 2: Convert to fraction form
    594,429/820,311.92 = 339,785.68/x
  3. Step 3: Cross multiply
    594,429x = 820,311.92 × 339,785.68
  4. Step 4: Simplify right side
    594,429x = 278,730,243,549.31
  5. Step 5: Solve for x
    x = 278,730,243,549.31/594,429
  6. Step 6: Final answer
    x = 468,904.18

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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.