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Finding the Fourth Proportional to 546,301.80, 821,202.30 and 389,615.40

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Solution

The fourth proportional to 546,301.80, 821,202.30 and 389,615.40 is: 585,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,301.80 : 821,202.30 = 389,615.40 : x
  2. Step 2: Convert to fraction form
    546,301.80/821,202.30 = 389,615.40/x
  3. Step 3: Cross multiply
    546,301.80x = 821,202.30 × 389,615.40
  4. Step 4: Simplify right side
    546,301.80x = 319,953,062,595.42
  5. Step 5: Solve for x
    x = 319,953,062,595.42/546,301.80
  6. Step 6: Final answer
    x = 585,670.89

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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.