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Finding the Fourth Proportional to 355,333.50, 532,848.52 and 205,677.08

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Solution

The fourth proportional to 355,333.50, 532,848.52 and 205,677.08 is: 308,427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,333.50 : 532,848.52 = 205,677.08 : x
  2. Step 2: Convert to fraction form
    355,333.50/532,848.52 = 205,677.08/x
  3. Step 3: Cross multiply
    355,333.50x = 532,848.52 × 205,677.08
  4. Step 4: Simplify right side
    355,333.50x = 109,594,727,675.92
  5. Step 5: Solve for x
    x = 109,594,727,675.92/355,333.50
  6. Step 6: Final answer
    x = 308,427.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.