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Finding the Fourth Proportional to 536,814.15, 804,530.02 and 411,534.15

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Solution

The fourth proportional to 536,814.15, 804,530.02 and 411,534.15 is: 616,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,814.15 : 804,530.02 = 411,534.15 : x
  2. Step 2: Convert to fraction form
    536,814.15/804,530.02 = 411,534.15/x
  3. Step 3: Cross multiply
    536,814.15x = 804,530.02 × 411,534.15
  4. Step 4: Simplify right side
    536,814.15x = 331,091,577,930.18
  5. Step 5: Solve for x
    x = 331,091,577,930.18/536,814.15
  6. Step 6: Final answer
    x = 616,771.33

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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.