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Finding the Fourth Proportional to 584,277, 806,302.32 and 316,005

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Solution

The fourth proportional to 584,277, 806,302.32 and 316,005 is: 436,086.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,277 : 806,302.32 = 316,005 : x
  2. Step 2: Convert to fraction form
    584,277/806,302.32 = 316,005/x
  3. Step 3: Cross multiply
    584,277x = 806,302.32 × 316,005
  4. Step 4: Simplify right side
    584,277x = 254,795,564,631.60
  5. Step 5: Solve for x
    x = 254,795,564,631.60/584,277
  6. Step 6: Final answer
    x = 436,086.93

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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.