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Finding the Fourth Proportional to 370,054, 510,674.52 and 200,289.52

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Solution

The fourth proportional to 370,054, 510,674.52 and 200,289.52 is: 276,399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,054 : 510,674.52 = 200,289.52 : x
  2. Step 2: Convert to fraction form
    370,054/510,674.52 = 200,289.52/x
  3. Step 3: Cross multiply
    370,054x = 510,674.52 × 200,289.52
  4. Step 4: Simplify right side
    370,054x = 102,282,754,487.03
  5. Step 5: Solve for x
    x = 102,282,754,487.03/370,054
  6. Step 6: Final answer
    x = 276,399.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.