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Finding the Fourth Proportional to 304,124.18, 456,255.54 and 161,894.50

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Solution

The fourth proportional to 304,124.18, 456,255.54 and 161,894.50 is: 242,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,124.18 : 456,255.54 = 161,894.50 : x
  2. Step 2: Convert to fraction form
    304,124.18/456,255.54 = 161,894.50/x
  3. Step 3: Cross multiply
    304,124.18x = 456,255.54 × 161,894.50
  4. Step 4: Simplify right side
    304,124.18x = 73,865,261,379.89
  5. Step 5: Solve for x
    x = 73,865,261,379.89/304,124.18
  6. Step 6: Final answer
    x = 242,878.62

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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.