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Finding the Fourth Proportional to 354,063.65, 531,252.44 and 185,543.91

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Solution

The fourth proportional to 354,063.65, 531,252.44 and 185,543.91 is: 278,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,063.65 : 531,252.44 = 185,543.91 : x
  2. Step 2: Convert to fraction form
    354,063.65/531,252.44 = 185,543.91/x
  3. Step 3: Cross multiply
    354,063.65x = 531,252.44 × 185,543.91
  4. Step 4: Simplify right side
    354,063.65x = 98,570,654,914.64
  5. Step 5: Solve for x
    x = 98,570,654,914.64/354,063.65
  6. Step 6: Final answer
    x = 278,398.12

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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.