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Finding the Fourth Proportional to 319,133.63, 478,741.94 and 116,698.20

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Solution

The fourth proportional to 319,133.63, 478,741.94 and 116,698.20 is: 175,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,133.63 : 478,741.94 = 116,698.20 : x
  2. Step 2: Convert to fraction form
    319,133.63/478,741.94 = 116,698.20/x
  3. Step 3: Cross multiply
    319,133.63x = 478,741.94 × 116,698.20
  4. Step 4: Simplify right side
    319,133.63x = 55,868,322,079.02
  5. Step 5: Solve for x
    x = 55,868,322,079.02/319,133.63
  6. Step 6: Final answer
    x = 175,062.47

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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.