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Finding the Fourth Proportional to 369,082.35, 509,333.64 and 199,316.46

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Solution

The fourth proportional to 369,082.35, 509,333.64 and 199,316.46 is: 275,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,082.35 : 509,333.64 = 199,316.46 : x
  2. Step 2: Convert to fraction form
    369,082.35/509,333.64 = 199,316.46/x
  3. Step 3: Cross multiply
    369,082.35x = 509,333.64 × 199,316.46
  4. Step 4: Simplify right side
    369,082.35x = 101,518,578,083.71
  5. Step 5: Solve for x
    x = 101,518,578,083.71/369,082.35
  6. Step 6: Final answer
    x = 275,056.71

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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.