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Finding the Fourth Proportional to 354,781.80, 532,328.54 and 186,262.98

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Solution

The fourth proportional to 354,781.80, 532,328.54 and 186,262.98 is: 279,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,781.80 : 532,328.54 = 186,262.98 : x
  2. Step 2: Convert to fraction form
    354,781.80/532,328.54 = 186,262.98/x
  3. Step 3: Cross multiply
    354,781.80x = 532,328.54 × 186,262.98
  4. Step 4: Simplify right side
    354,781.80x = 99,153,099,268.13
  5. Step 5: Solve for x
    x = 99,153,099,268.13/354,781.80
  6. Step 6: Final answer
    x = 279,476.28

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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.