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Finding the Fourth Proportional to 354,566.16, 532,047.96 and 188,349.84

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Solution

The fourth proportional to 354,566.16, 532,047.96 and 188,349.84 is: 282,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,566.16 : 532,047.96 = 188,349.84 : x
  2. Step 2: Convert to fraction form
    354,566.16/532,047.96 = 188,349.84/x
  3. Step 3: Cross multiply
    354,566.16x = 532,047.96 × 188,349.84
  4. Step 4: Simplify right side
    354,566.16x = 100,211,148,138.33
  5. Step 5: Solve for x
    x = 100,211,148,138.33/354,566.16
  6. Step 6: Final answer
    x = 282,630.32

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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.