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Finding the Fourth Proportional to 584,279, 806,305.08 and 316,007

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Solution

The fourth proportional to 584,279, 806,305.08 and 316,007 is: 436,089.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,279 : 806,305.08 = 316,007 : x
  2. Step 2: Convert to fraction form
    584,279/806,305.08 = 316,007/x
  3. Step 3: Cross multiply
    584,279x = 806,305.08 × 316,007
  4. Step 4: Simplify right side
    584,279x = 254,798,049,415.56
  5. Step 5: Solve for x
    x = 254,798,049,415.56/584,279
  6. Step 6: Final answer
    x = 436,089.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.