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Finding the Fourth Proportional to 647,426.04, 971,168.22 and 469,083.48

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Solution

The fourth proportional to 647,426.04, 971,168.22 and 469,083.48 is: 703,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,426.04 : 971,168.22 = 469,083.48 : x
  2. Step 2: Convert to fraction form
    647,426.04/971,168.22 = 469,083.48/x
  3. Step 3: Cross multiply
    647,426.04x = 971,168.22 × 469,083.48
  4. Step 4: Simplify right side
    647,426.04x = 455,558,968,303.01
  5. Step 5: Solve for x
    x = 455,558,968,303.01/647,426.04
  6. Step 6: Final answer
    x = 703,646.35

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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.