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Finding the Fourth Proportional to 461,708.58, 692,602.35 and 162,163.08

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Solution

The fourth proportional to 461,708.58, 692,602.35 and 162,163.08 is: 243,258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,708.58 : 692,602.35 = 162,163.08 : x
  2. Step 2: Convert to fraction form
    461,708.58/692,602.35 = 162,163.08/x
  3. Step 3: Cross multiply
    461,708.58x = 692,602.35 × 162,163.08
  4. Step 4: Simplify right side
    461,708.58x = 112,314,530,291.24
  5. Step 5: Solve for x
    x = 112,314,530,291.24/461,708.58
  6. Step 6: Final answer
    x = 243,258.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.