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Finding the Fourth Proportional to 369,175.34, 509,462.18 and 199,409.46

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Solution

The fourth proportional to 369,175.34, 509,462.18 and 199,409.46 is: 275,185.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,175.34 : 509,462.18 = 199,409.46 : x
  2. Step 2: Convert to fraction form
    369,175.34/509,462.18 = 199,409.46/x
  3. Step 3: Cross multiply
    369,175.34x = 509,462.18 × 199,409.46
  4. Step 4: Simplify right side
    369,175.34x = 101,591,578,204.22
  5. Step 5: Solve for x
    x = 101,591,578,204.22/369,175.34
  6. Step 6: Final answer
    x = 275,185.17

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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.