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Finding the Fourth Proportional to 584,286, 806,314.74 and 316,014

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Solution

The fourth proportional to 584,286, 806,314.74 and 316,014 is: 436,099.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,286 : 806,314.74 = 316,014 : x
  2. Step 2: Convert to fraction form
    584,286/806,314.74 = 316,014/x
  3. Step 3: Cross multiply
    584,286x = 806,314.74 × 316,014
  4. Step 4: Simplify right side
    584,286x = 254,806,746,246.36
  5. Step 5: Solve for x
    x = 254,806,746,246.36/584,286
  6. Step 6: Final answer
    x = 436,099.35

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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.