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Finding the Fourth Proportional to 335,564.60, 463,145.46 and 192,421.40

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Solution

The fourth proportional to 335,564.60, 463,145.46 and 192,421.40 is: 265,579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,564.60 : 463,145.46 = 192,421.40 : x
  2. Step 2: Convert to fraction form
    335,564.60/463,145.46 = 192,421.40/x
  3. Step 3: Cross multiply
    335,564.60x = 463,145.46 × 192,421.40
  4. Step 4: Simplify right side
    335,564.60x = 89,119,097,816.84
  5. Step 5: Solve for x
    x = 89,119,097,816.84/335,564.60
  6. Step 6: Final answer
    x = 265,579.56

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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.