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Finding the Fourth Proportional to 536,998.40, 804,806.40 and 411,718.40

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Solution

The fourth proportional to 536,998.40, 804,806.40 and 411,718.40 is: 617,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,998.40 : 804,806.40 = 411,718.40 : x
  2. Step 2: Convert to fraction form
    536,998.40/804,806.40 = 411,718.40/x
  3. Step 3: Cross multiply
    536,998.40x = 804,806.40 × 411,718.40
  4. Step 4: Simplify right side
    536,998.40x = 331,353,603,317.76
  5. Step 5: Solve for x
    x = 331,353,603,317.76/536,998.40
  6. Step 6: Final answer
    x = 617,047.65

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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.