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Finding the Fourth Proportional to 533,909.44, 736,959.04 and 307,705.60

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Solution

The fourth proportional to 533,909.44, 736,959.04 and 307,705.60 is: 424,728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,909.44 : 736,959.04 = 307,705.60 : x
  2. Step 2: Convert to fraction form
    533,909.44/736,959.04 = 307,705.60/x
  3. Step 3: Cross multiply
    533,909.44x = 736,959.04 × 307,705.60
  4. Step 4: Simplify right side
    533,909.44x = 226,766,423,578.62
  5. Step 5: Solve for x
    x = 226,766,423,578.62/533,909.44
  6. Step 6: Final answer
    x = 424,728.25

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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.