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Finding the Fourth Proportional to 304,798.32, 457,284.96 and 199,486.98

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Solution

The fourth proportional to 304,798.32, 457,284.96 and 199,486.98 is: 299,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,798.32 : 457,284.96 = 199,486.98 : x
  2. Step 2: Convert to fraction form
    304,798.32/457,284.96 = 199,486.98/x
  3. Step 3: Cross multiply
    304,798.32x = 457,284.96 × 199,486.98
  4. Step 4: Simplify right side
    304,798.32x = 91,222,395,669.82
  5. Step 5: Solve for x
    x = 91,222,395,669.82/304,798.32
  6. Step 6: Final answer
    x = 299,287.72

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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.