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Finding the Fourth Proportional to 364,409.34, 546,719.77 and 151,138.14

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Solution

The fourth proportional to 364,409.34, 546,719.77 and 151,138.14 is: 226,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,409.34 : 546,719.77 = 151,138.14 : x
  2. Step 2: Convert to fraction form
    364,409.34/546,719.77 = 151,138.14/x
  3. Step 3: Cross multiply
    364,409.34x = 546,719.77 × 151,138.14
  4. Step 4: Simplify right side
    364,409.34x = 82,630,209,139.03
  5. Step 5: Solve for x
    x = 82,630,209,139.03/364,409.34
  6. Step 6: Final answer
    x = 226,751.07

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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.