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Finding the Fourth Proportional to 369,531.84, 509,955.24 and 199,765.98

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Solution

The fourth proportional to 369,531.84, 509,955.24 and 199,765.98 is: 275,677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,531.84 : 509,955.24 = 199,765.98 : x
  2. Step 2: Convert to fraction form
    369,531.84/509,955.24 = 199,765.98/x
  3. Step 3: Cross multiply
    369,531.84x = 509,955.24 × 199,765.98
  4. Step 4: Simplify right side
    369,531.84x = 101,871,708,274.74
  5. Step 5: Solve for x
    x = 101,871,708,274.74/369,531.84
  6. Step 6: Final answer
    x = 275,677.76

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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.