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Finding the Fourth Proportional to 472,339.14, 708,783.06 and 198,765.18

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Solution

The fourth proportional to 472,339.14, 708,783.06 and 198,765.18 is: 298,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,339.14 : 708,783.06 = 198,765.18 : x
  2. Step 2: Convert to fraction form
    472,339.14/708,783.06 = 198,765.18/x
  3. Step 3: Cross multiply
    472,339.14x = 708,783.06 × 198,765.18
  4. Step 4: Simplify right side
    472,339.14x = 140,881,392,501.85
  5. Step 5: Solve for x
    x = 140,881,392,501.85/472,339.14
  6. Step 6: Final answer
    x = 298,263.22

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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.