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Finding the Fourth Proportional to 1,309,776.23, 1,964,664.78 and 589,276.46

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Solution

The fourth proportional to 1,309,776.23, 1,964,664.78 and 589,276.46 is: 883,914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,776.23 : 1,964,664.78 = 589,276.46 : x
  2. Step 2: Convert to fraction form
    1,309,776.23/1,964,664.78 = 589,276.46/x
  3. Step 3: Cross multiply
    1,309,776.23x = 1,964,664.78 × 589,276.46
  4. Step 4: Simplify right side
    1,309,776.23x = 1,157,730,696,821.75
  5. Step 5: Solve for x
    x = 1,157,730,696,821.75/1,309,776.23
  6. Step 6: Final answer
    x = 883,914.88

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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.