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Finding the Fourth Proportional to 304,200.63, 456,054.84 and 185,831.98

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Solution

The fourth proportional to 304,200.63, 456,054.84 and 185,831.98 is: 278,597.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,200.63 : 456,054.84 = 185,831.98 : x
  2. Step 2: Convert to fraction form
    304,200.63/456,054.84 = 185,831.98/x
  3. Step 3: Cross multiply
    304,200.63x = 456,054.84 × 185,831.98
  4. Step 4: Simplify right side
    304,200.63x = 84,749,572,765.65
  5. Step 5: Solve for x
    x = 84,749,572,765.65/304,200.63
  6. Step 6: Final answer
    x = 278,597.62

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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.