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Finding the Fourth Proportional to 584,316.68, 878,016.21 and 314,644.19

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Solution

The fourth proportional to 584,316.68, 878,016.21 and 314,644.19 is: 472,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,316.68 : 878,016.21 = 314,644.19 : x
  2. Step 2: Convert to fraction form
    584,316.68/878,016.21 = 314,644.19/x
  3. Step 3: Cross multiply
    584,316.68x = 878,016.21 × 314,644.19
  4. Step 4: Simplify right side
    584,316.68x = 276,262,693,632.32
  5. Step 5: Solve for x
    x = 276,262,693,632.32/584,316.68
  6. Step 6: Final answer
    x = 472,796.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.