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Finding the Fourth Proportional to 584,319, 806,361.66 and 316,047

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Solution

The fourth proportional to 584,319, 806,361.66 and 316,047 is: 436,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,319 : 806,361.66 = 316,047 : x
  2. Step 2: Convert to fraction form
    584,319/806,361.66 = 316,047/x
  3. Step 3: Cross multiply
    584,319x = 806,361.66 × 316,047
  4. Step 4: Simplify right side
    584,319x = 254,848,183,558.02
  5. Step 5: Solve for x
    x = 254,848,183,558.02/584,319
  6. Step 6: Final answer
    x = 436,145.64

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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.