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Finding the Fourth Proportional to 1,728,622.18, 2,385,724.32 and 964,834.30

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Solution

The fourth proportional to 1,728,622.18, 2,385,724.32 and 964,834.30 is: 1,331,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,622.18 : 2,385,724.32 = 964,834.30 : x
  2. Step 2: Convert to fraction form
    1,728,622.18/2,385,724.32 = 964,834.30/x
  3. Step 3: Cross multiply
    1,728,622.18x = 2,385,724.32 × 964,834.30
  4. Step 4: Simplify right side
    1,728,622.18x = 2,301,828,637,527.38
  5. Step 5: Solve for x
    x = 2,301,828,637,527.38/1,728,622.18
  6. Step 6: Final answer
    x = 1,331,597.31

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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.