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Finding the Fourth Proportional to 304,841.89, 457,307.39 and 146,940.49

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Solution

The fourth proportional to 304,841.89, 457,307.39 and 146,940.49 is: 220,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,841.89 : 457,307.39 = 146,940.49 : x
  2. Step 2: Convert to fraction form
    304,841.89/457,307.39 = 146,940.49/x
  3. Step 3: Cross multiply
    304,841.89x = 457,307.39 × 146,940.49
  4. Step 4: Simplify right side
    304,841.89x = 67,196,971,967.22
  5. Step 5: Solve for x
    x = 67,196,971,967.22/304,841.89
  6. Step 6: Final answer
    x = 220,432.21

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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.