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Finding the Fourth Proportional to 314,000.21, 470,873.51 and 121,773.44

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Solution

The fourth proportional to 314,000.21, 470,873.51 and 121,773.44 is: 182,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,000.21 : 470,873.51 = 121,773.44 : x
  2. Step 2: Convert to fraction form
    314,000.21/470,873.51 = 121,773.44/x
  3. Step 3: Cross multiply
    314,000.21x = 470,873.51 × 121,773.44
  4. Step 4: Simplify right side
    314,000.21x = 57,339,887,117.57
  5. Step 5: Solve for x
    x = 57,339,887,117.57/314,000.21
  6. Step 6: Final answer
    x = 182,610.98

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1.5x scale

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.