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Finding the Fourth Proportional to 354,984.26, 532,632.47 and 186,465.44

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Solution

The fourth proportional to 354,984.26, 532,632.47 and 186,465.44 is: 279,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,984.26 : 532,632.47 = 186,465.44 : x
  2. Step 2: Convert to fraction form
    354,984.26/532,632.47 = 186,465.44/x
  3. Step 3: Cross multiply
    354,984.26x = 532,632.47 × 186,465.44
  4. Step 4: Simplify right side
    354,984.26x = 99,317,544,281.35
  5. Step 5: Solve for x
    x = 99,317,544,281.35/354,984.26
  6. Step 6: Final answer
    x = 279,780.14

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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.