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Finding the Fourth Proportional to 584,695, 806,881.26 and 316,423

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Solution

The fourth proportional to 584,695, 806,881.26 and 316,423 is: 436,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,695 : 806,881.26 = 316,423 : x
  2. Step 2: Convert to fraction form
    584,695/806,881.26 = 316,423/x
  3. Step 3: Cross multiply
    584,695x = 806,881.26 × 316,423
  4. Step 4: Simplify right side
    584,695x = 255,315,788,932.98
  5. Step 5: Solve for x
    x = 255,315,788,932.98/584,695
  6. Step 6: Final answer
    x = 436,664.91

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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.