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Finding the Fourth Proportional to 407,383.20, 611,996.40 and 282,967.20

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Solution

The fourth proportional to 407,383.20, 611,996.40 and 282,967.20 is: 425,090.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,383.20 : 611,996.40 = 282,967.20 : x
  2. Step 2: Convert to fraction form
    407,383.20/611,996.40 = 282,967.20/x
  3. Step 3: Cross multiply
    407,383.20x = 611,996.40 × 282,967.20
  4. Step 4: Simplify right side
    407,383.20x = 173,174,907,718.08
  5. Step 5: Solve for x
    x = 173,174,907,718.08/407,383.20
  6. Step 6: Final answer
    x = 425,090.94

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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.