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Finding the Fourth Proportional to 301,646.12, 452,427.86 and 166,959.32

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Solution

The fourth proportional to 301,646.12, 452,427.86 and 166,959.32 is: 250,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,646.12 : 452,427.86 = 166,959.32 : x
  2. Step 2: Convert to fraction form
    301,646.12/452,427.86 = 166,959.32/x
  3. Step 3: Cross multiply
    301,646.12x = 452,427.86 × 166,959.32
  4. Step 4: Simplify right side
    301,646.12x = 75,537,047,854.66
  5. Step 5: Solve for x
    x = 75,537,047,854.66/301,646.12
  6. Step 6: Final answer
    x = 250,416.11

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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.