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Finding the Fourth Proportional to 546,209.83, 753,814.46 and 301,242.51

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Solution

The fourth proportional to 546,209.83, 753,814.46 and 301,242.51 is: 415,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,209.83 : 753,814.46 = 301,242.51 : x
  2. Step 2: Convert to fraction form
    546,209.83/753,814.46 = 301,242.51/x
  3. Step 3: Cross multiply
    546,209.83x = 753,814.46 × 301,242.51
  4. Step 4: Simplify right side
    546,209.83x = 227,080,958,498.48
  5. Step 5: Solve for x
    x = 227,080,958,498.48/546,209.83
  6. Step 6: Final answer
    x = 415,739.42

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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.