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Finding the Fourth Proportional to 312,461.69, 431,196.71 and 169,222.30

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Solution

The fourth proportional to 312,461.69, 431,196.71 and 169,222.30 is: 233,526.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,461.69 : 431,196.71 = 169,222.30 : x
  2. Step 2: Convert to fraction form
    312,461.69/431,196.71 = 169,222.30/x
  3. Step 3: Cross multiply
    312,461.69x = 431,196.71 × 169,222.30
  4. Step 4: Simplify right side
    312,461.69x = 72,968,097,094.53
  5. Step 5: Solve for x
    x = 72,968,097,094.53/312,461.69
  6. Step 6: Final answer
    x = 233,526.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.