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Finding the Fourth Proportional to 326,071.90, 488,925.60 and 166,047.76

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Solution

The fourth proportional to 326,071.90, 488,925.60 and 166,047.76 is: 248,978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,071.90 : 488,925.60 = 166,047.76 : x
  2. Step 2: Convert to fraction form
    326,071.90/488,925.60 = 166,047.76/x
  3. Step 3: Cross multiply
    326,071.90x = 488,925.60 × 166,047.76
  4. Step 4: Simplify right side
    326,071.90x = 81,185,000,686.66
  5. Step 5: Solve for x
    x = 81,185,000,686.66/326,071.90
  6. Step 6: Final answer
    x = 248,978.83

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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.