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Finding the Fourth Proportional to 304,739.82, 457,080.57 and 105,032.70

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Solution

The fourth proportional to 304,739.82, 457,080.57 and 105,032.70 is: 157,539.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,739.82 : 457,080.57 = 105,032.70 : x
  2. Step 2: Convert to fraction form
    304,739.82/457,080.57 = 105,032.70/x
  3. Step 3: Cross multiply
    304,739.82x = 457,080.57 × 105,032.70
  4. Step 4: Simplify right side
    304,739.82x = 48,008,406,384.64
  5. Step 5: Solve for x
    x = 48,008,406,384.64/304,739.82
  6. Step 6: Final answer
    x = 157,539.00

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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.