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Finding the Fourth Proportional to 584,697, 806,881.92 and 316,425

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Solution

The fourth proportional to 584,697, 806,881.92 and 316,425 is: 436,666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,697 : 806,881.92 = 316,425 : x
  2. Step 2: Convert to fraction form
    584,697/806,881.92 = 316,425/x
  3. Step 3: Cross multiply
    584,697x = 806,881.92 × 316,425
  4. Step 4: Simplify right side
    584,697x = 255,317,611,536
  5. Step 5: Solve for x
    x = 255,317,611,536/584,697
  6. Step 6: Final answer
    x = 436,666.53

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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.