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Finding the Fourth Proportional to 1,077,909.80, 1,616,864.70 and 839,964.20

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Solution

The fourth proportional to 1,077,909.80, 1,616,864.70 and 839,964.20 is: 1,259,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,909.80 : 1,616,864.70 = 839,964.20 : x
  2. Step 2: Convert to fraction form
    1,077,909.80/1,616,864.70 = 839,964.20/x
  3. Step 3: Cross multiply
    1,077,909.80x = 1,616,864.70 × 839,964.20
  4. Step 4: Simplify right side
    1,077,909.80x = 1,358,108,464,243.74
  5. Step 5: Solve for x
    x = 1,358,108,464,243.74/1,077,909.80
  6. Step 6: Final answer
    x = 1,259,946.30

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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.