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Finding the Fourth Proportional to 304,825.68, 457,071.48 and 94,405.20

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Solution

The fourth proportional to 304,825.68, 457,071.48 and 94,405.20 is: 141,556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,825.68 : 457,071.48 = 94,405.20 : x
  2. Step 2: Convert to fraction form
    304,825.68/457,071.48 = 94,405.20/x
  3. Step 3: Cross multiply
    304,825.68x = 457,071.48 × 94,405.20
  4. Step 4: Simplify right side
    304,825.68x = 43,149,924,483.70
  5. Step 5: Solve for x
    x = 43,149,924,483.70/304,825.68
  6. Step 6: Final answer
    x = 141,556.07

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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.