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Finding the Fourth Proportional to 301,807, 416,493.66 and 167,671

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Solution

The fourth proportional to 301,807, 416,493.66 and 167,671 is: 231,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,807 : 416,493.66 = 167,671 : x
  2. Step 2: Convert to fraction form
    301,807/416,493.66 = 167,671/x
  3. Step 3: Cross multiply
    301,807x = 416,493.66 × 167,671
  4. Step 4: Simplify right side
    301,807x = 69,833,908,465.86
  5. Step 5: Solve for x
    x = 69,833,908,465.86/301,807
  6. Step 6: Final answer
    x = 231,385.98

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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.