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Finding the Fourth Proportional to 319,080.47, 478,619.30 and 94,441.84

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Solution

The fourth proportional to 319,080.47, 478,619.30 and 94,441.84 is: 141,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,080.47 : 478,619.30 = 94,441.84 : x
  2. Step 2: Convert to fraction form
    319,080.47/478,619.30 = 94,441.84/x
  3. Step 3: Cross multiply
    319,080.47x = 478,619.30 × 94,441.84
  4. Step 4: Simplify right side
    319,080.47x = 45,201,686,391.07
  5. Step 5: Solve for x
    x = 45,201,686,391.07/319,080.47
  6. Step 6: Final answer
    x = 141,662.34

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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.