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Finding the Fourth Proportional to 304,948.98, 457,842.42 and 155,289.84

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Solution

The fourth proportional to 304,948.98, 457,842.42 and 155,289.84 is: 233,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,948.98 : 457,842.42 = 155,289.84 : x
  2. Step 2: Convert to fraction form
    304,948.98/457,842.42 = 155,289.84/x
  3. Step 3: Cross multiply
    304,948.98x = 457,842.42 × 155,289.84
  4. Step 4: Simplify right side
    304,948.98x = 71,098,276,147.01
  5. Step 5: Solve for x
    x = 71,098,276,147.01/304,948.98
  6. Step 6: Final answer
    x = 233,148.10

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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.