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Finding the Fourth Proportional to 354,978.25, 532,623.47 and 186,459.44

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Solution

The fourth proportional to 354,978.25, 532,623.47 and 186,459.44 is: 279,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,978.25 : 532,623.47 = 186,459.44 : x
  2. Step 2: Convert to fraction form
    354,978.25/532,623.47 = 186,459.44/x
  3. Step 3: Cross multiply
    354,978.25x = 532,623.47 × 186,459.44
  4. Step 4: Simplify right side
    354,978.25x = 99,312,670,351.64
  5. Step 5: Solve for x
    x = 99,312,670,351.64/354,978.25
  6. Step 6: Final answer
    x = 279,771.14

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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.