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Finding the Fourth Proportional to 584,317, 806,358.90 and 316,045

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Solution

The fourth proportional to 584,317, 806,358.90 and 316,045 is: 436,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,317 : 806,358.90 = 316,045 : x
  2. Step 2: Convert to fraction form
    584,317/806,358.90 = 316,045/x
  3. Step 3: Cross multiply
    584,317x = 806,358.90 × 316,045
  4. Step 4: Simplify right side
    584,317x = 254,845,698,550.50
  5. Step 5: Solve for x
    x = 254,845,698,550.50/584,317
  6. Step 6: Final answer
    x = 436,142.88

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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.