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Finding the Fourth Proportional to 927,353.16, 1,282,564.80 and 831,825

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Solution

The fourth proportional to 927,353.16, 1,282,564.80 and 831,825 is: 1,150,445.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,353.16 : 1,282,564.80 = 831,825 : x
  2. Step 2: Convert to fraction form
    927,353.16/1,282,564.80 = 831,825/x
  3. Step 3: Cross multiply
    927,353.16x = 1,282,564.80 × 831,825
  4. Step 4: Simplify right side
    927,353.16x = 1,066,869,464,760
  5. Step 5: Solve for x
    x = 1,066,869,464,760/927,353.16
  6. Step 6: Final answer
    x = 1,150,445.71

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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.