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Finding the Fourth Proportional to 536,813.90, 804,529.65 and 411,533.90

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Solution

The fourth proportional to 536,813.90, 804,529.65 and 411,533.90 is: 616,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,813.90 : 804,529.65 = 411,533.90 : x
  2. Step 2: Convert to fraction form
    536,813.90/804,529.65 = 411,533.90/x
  3. Step 3: Cross multiply
    536,813.90x = 804,529.65 × 411,533.90
  4. Step 4: Simplify right side
    536,813.90x = 331,091,224,530.14
  5. Step 5: Solve for x
    x = 331,091,224,530.14/536,813.90
  6. Step 6: Final answer
    x = 616,770.96

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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.