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Finding the Fourth Proportional to 301,824, 416,530.08 and 167,688

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Solution

The fourth proportional to 301,824, 416,530.08 and 167,688 is: 231,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,824 : 416,530.08 = 167,688 : x
  2. Step 2: Convert to fraction form
    301,824/416,530.08 = 167,688/x
  3. Step 3: Cross multiply
    301,824x = 416,530.08 × 167,688
  4. Step 4: Simplify right side
    301,824x = 69,847,096,055.04
  5. Step 5: Solve for x
    x = 69,847,096,055.04/301,824
  6. Step 6: Final answer
    x = 231,416.64

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Why These Related Problems?

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