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Finding the Fourth Proportional to 532,850.12, 798,736.50 and 229,442.14

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Solution

The fourth proportional to 532,850.12, 798,736.50 and 229,442.14 is: 343,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,850.12 : 798,736.50 = 229,442.14 : x
  2. Step 2: Convert to fraction form
    532,850.12/798,736.50 = 229,442.14/x
  3. Step 3: Cross multiply
    532,850.12x = 798,736.50 × 229,442.14
  4. Step 4: Simplify right side
    532,850.12x = 183,263,811,856.11
  5. Step 5: Solve for x
    x = 183,263,811,856.11/532,850.12
  6. Step 6: Final answer
    x = 343,931.26

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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.