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Finding the Fourth Proportional to 361,038.93, 498,167.33 and 208,055.67

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Solution

The fourth proportional to 361,038.93, 498,167.33 and 208,055.67 is: 287,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,038.93 : 498,167.33 = 208,055.67 : x
  2. Step 2: Convert to fraction form
    361,038.93/498,167.33 = 208,055.67/x
  3. Step 3: Cross multiply
    361,038.93x = 498,167.33 × 208,055.67
  4. Step 4: Simplify right side
    361,038.93x = 103,646,536,574.98
  5. Step 5: Solve for x
    x = 103,646,536,574.98/361,038.93
  6. Step 6: Final answer
    x = 287,078.56

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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.