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Finding the Fourth Proportional to 369,182.34, 509,473.71 and 208,039.86

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Solution

The fourth proportional to 369,182.34, 509,473.71 and 208,039.86 is: 287,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,182.34 : 509,473.71 = 208,039.86 : x
  2. Step 2: Convert to fraction form
    369,182.34/509,473.71 = 208,039.86/x
  3. Step 3: Cross multiply
    369,182.34x = 509,473.71 × 208,039.86
  4. Step 4: Simplify right side
    369,182.34x = 105,990,839,302.08
  5. Step 5: Solve for x
    x = 105,990,839,302.08/369,182.34
  6. Step 6: Final answer
    x = 287,096.18

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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.