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Finding the Fourth Proportional to 584,568, 806,703.84 and 316,296

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Solution

The fourth proportional to 584,568, 806,703.84 and 316,296 is: 436,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,568 : 806,703.84 = 316,296 : x
  2. Step 2: Convert to fraction form
    584,568/806,703.84 = 316,296/x
  3. Step 3: Cross multiply
    584,568x = 806,703.84 × 316,296
  4. Step 4: Simplify right side
    584,568x = 255,157,197,776.64
  5. Step 5: Solve for x
    x = 255,157,197,776.64/584,568
  6. Step 6: Final answer
    x = 436,488.48

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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.