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Finding the Fourth Proportional to 319,117.20, 478,675.80 and 201,310.80

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Solution

The fourth proportional to 319,117.20, 478,675.80 and 201,310.80 is: 301,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,117.20 : 478,675.80 = 201,310.80 : x
  2. Step 2: Convert to fraction form
    319,117.20/478,675.80 = 201,310.80/x
  3. Step 3: Cross multiply
    319,117.20x = 478,675.80 × 201,310.80
  4. Step 4: Simplify right side
    319,117.20x = 96,362,608,238.64
  5. Step 5: Solve for x
    x = 96,362,608,238.64/319,117.20
  6. Step 6: Final answer
    x = 301,966.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.