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Finding the Fourth Proportional to 369,300.38, 509,663.68 and 205,980.08

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Solution

The fourth proportional to 369,300.38, 509,663.68 and 205,980.08 is: 284,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,300.38 : 509,663.68 = 205,980.08 : x
  2. Step 2: Convert to fraction form
    369,300.38/509,663.68 = 205,980.08/x
  3. Step 3: Cross multiply
    369,300.38x = 509,663.68 × 205,980.08
  4. Step 4: Simplify right side
    369,300.38x = 104,980,562,516.23
  5. Step 5: Solve for x
    x = 104,980,562,516.23/369,300.38
  6. Step 6: Final answer
    x = 284,268.77

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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.