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Finding the Fourth Proportional to 595,094.79, 821,791.30 and 414,301.07

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Solution

The fourth proportional to 595,094.79, 821,791.30 and 414,301.07 is: 572,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,094.79 : 821,791.30 = 414,301.07 : x
  2. Step 2: Convert to fraction form
    595,094.79/821,791.30 = 414,301.07/x
  3. Step 3: Cross multiply
    595,094.79x = 821,791.30 × 414,301.07
  4. Step 4: Simplify right side
    595,094.79x = 340,469,015,925.42
  5. Step 5: Solve for x
    x = 340,469,015,925.42/595,094.79
  6. Step 6: Final answer
    x = 572,125.69

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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.