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Finding the Fourth Proportional to 536,040.42, 804,059.82 and 417,800.40

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Solution

The fourth proportional to 536,040.42, 804,059.82 and 417,800.40 is: 626,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,040.42 : 804,059.82 = 417,800.40 : x
  2. Step 2: Convert to fraction form
    536,040.42/804,059.82 = 417,800.40/x
  3. Step 3: Cross multiply
    536,040.42x = 804,059.82 × 417,800.40
  4. Step 4: Simplify right side
    536,040.42x = 335,936,514,419.93
  5. Step 5: Solve for x
    x = 335,936,514,419.93/536,040.42
  6. Step 6: Final answer
    x = 626,699.97

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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.