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Finding the Fourth Proportional to 584,258, 806,276.04 and 315,986

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Solution

The fourth proportional to 584,258, 806,276.04 and 315,986 is: 436,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,258 : 806,276.04 = 315,986 : x
  2. Step 2: Convert to fraction form
    584,258/806,276.04 = 315,986/x
  3. Step 3: Cross multiply
    584,258x = 806,276.04 × 315,986
  4. Step 4: Simplify right side
    584,258x = 254,771,940,775.44
  5. Step 5: Solve for x
    x = 254,771,940,775.44/584,258
  6. Step 6: Final answer
    x = 436,060.68

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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.