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Finding the Fourth Proportional to 369,175.47, 509,462.36 and 199,409.59

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Solution

The fourth proportional to 369,175.47, 509,462.36 and 199,409.59 is: 275,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,175.47 : 509,462.36 = 199,409.59 : x
  2. Step 2: Convert to fraction form
    369,175.47/509,462.36 = 199,409.59/x
  3. Step 3: Cross multiply
    369,175.47x = 509,462.36 × 199,409.59
  4. Step 4: Simplify right side
    369,175.47x = 101,591,680,328.03
  5. Step 5: Solve for x
    x = 101,591,680,328.03/369,175.47
  6. Step 6: Final answer
    x = 275,185.35

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1.5x scale

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.