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Finding the Fourth Proportional to 1,411,604.64, 1,947,795.12 and 838,630.08

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Solution

The fourth proportional to 1,411,604.64, 1,947,795.12 and 838,630.08 is: 1,157,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,604.64 : 1,947,795.12 = 838,630.08 : x
  2. Step 2: Convert to fraction form
    1,411,604.64/1,947,795.12 = 838,630.08/x
  3. Step 3: Cross multiply
    1,411,604.64x = 1,947,795.12 × 838,630.08
  4. Step 4: Simplify right side
    1,411,604.64x = 1,633,479,577,309.21
  5. Step 5: Solve for x
    x = 1,633,479,577,309.21/1,411,604.64
  6. Step 6: Final answer
    x = 1,157,179.23

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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.