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Finding the Fourth Proportional to 319,149.30, 478,316.93 and 169,461.30

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Solution

The fourth proportional to 319,149.30, 478,316.93 and 169,461.30 is: 253,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,149.30 : 478,316.93 = 169,461.30 : x
  2. Step 2: Convert to fraction form
    319,149.30/478,316.93 = 169,461.30/x
  3. Step 3: Cross multiply
    319,149.30x = 478,316.93 × 169,461.30
  4. Step 4: Simplify right side
    319,149.30x = 81,056,207,922.50
  5. Step 5: Solve for x
    x = 81,056,207,922.50/319,149.30
  6. Step 6: Final answer
    x = 253,975.83

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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.