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Finding the Fourth Proportional to 584,164, 806,146.37 and 315,892

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Solution

The fourth proportional to 584,164, 806,146.37 and 315,892 is: 435,930.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,164 : 806,146.37 = 315,892 : x
  2. Step 2: Convert to fraction form
    584,164/806,146.37 = 315,892/x
  3. Step 3: Cross multiply
    584,164x = 806,146.37 × 315,892
  4. Step 4: Simplify right side
    584,164x = 254,655,189,112.04
  5. Step 5: Solve for x
    x = 254,655,189,112.04/584,164
  6. Step 6: Final answer
    x = 435,930.99

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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.