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Finding the Fourth Proportional to 584,291, 806,321.64 and 316,019

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Solution

The fourth proportional to 584,291, 806,321.64 and 316,019 is: 436,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,291 : 806,321.64 = 316,019 : x
  2. Step 2: Convert to fraction form
    584,291/806,321.64 = 316,019/x
  3. Step 3: Cross multiply
    584,291x = 806,321.64 × 316,019
  4. Step 4: Simplify right side
    584,291x = 254,812,958,351.16
  5. Step 5: Solve for x
    x = 254,812,958,351.16/584,291
  6. Step 6: Final answer
    x = 436,106.25

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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.