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Finding the Fourth Proportional to 316,465.06, 474,646.42 and 116,879.44

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Solution

The fourth proportional to 316,465.06, 474,646.42 and 116,879.44 is: 175,300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,465.06 : 474,646.42 = 116,879.44 : x
  2. Step 2: Convert to fraction form
    316,465.06/474,646.42 = 116,879.44/x
  3. Step 3: Cross multiply
    316,465.06x = 474,646.42 × 116,879.44
  4. Step 4: Simplify right side
    316,465.06x = 55,476,407,767.60
  5. Step 5: Solve for x
    x = 55,476,407,767.60/316,465.06
  6. Step 6: Final answer
    x = 175,300.26

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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.