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Finding the Fourth Proportional to 361,096.59, 498,312.54 and 208,133.75

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Solution

The fourth proportional to 361,096.59, 498,312.54 and 208,133.75 is: 287,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,096.59 : 498,312.54 = 208,133.75 : x
  2. Step 2: Convert to fraction form
    361,096.59/498,312.54 = 208,133.75/x
  3. Step 3: Cross multiply
    361,096.59x = 498,312.54 × 208,133.75
  4. Step 4: Simplify right side
    361,096.59x = 103,715,658,087.51
  5. Step 5: Solve for x
    x = 103,715,658,087.51/361,096.59
  6. Step 6: Final answer
    x = 287,224.14

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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.