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Finding the Fourth Proportional to 1,309,728.93, 1,964,594.07 and 589,229.29

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Solution

The fourth proportional to 1,309,728.93, 1,964,594.07 and 589,229.29 is: 883,844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,728.93 : 1,964,594.07 = 589,229.29 : x
  2. Step 2: Convert to fraction form
    1,309,728.93/1,964,594.07 = 589,229.29/x
  3. Step 3: Cross multiply
    1,309,728.93x = 1,964,594.07 × 589,229.29
  4. Step 4: Simplify right side
    1,309,728.93x = 1,157,596,371,460.05
  5. Step 5: Solve for x
    x = 1,157,596,371,460.05/1,309,728.93
  6. Step 6: Final answer
    x = 883,844.24

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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.