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Finding the Fourth Proportional to 536,954.40, 804,740.40 and 411,674.40

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Solution

The fourth proportional to 536,954.40, 804,740.40 and 411,674.40 is: 616,981.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,954.40 : 804,740.40 = 411,674.40 : x
  2. Step 2: Convert to fraction form
    536,954.40/804,740.40 = 411,674.40/x
  3. Step 3: Cross multiply
    536,954.40x = 804,740.40 × 411,674.40
  4. Step 4: Simplify right side
    536,954.40x = 331,291,021,325.76
  5. Step 5: Solve for x
    x = 331,291,021,325.76/536,954.40
  6. Step 6: Final answer
    x = 616,981.67

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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.