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Finding the Fourth Proportional to 397,800.96, 596,522.88 and 117,219.84

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Solution

The fourth proportional to 397,800.96, 596,522.88 and 117,219.84 is: 175,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,800.96 : 596,522.88 = 117,219.84 : x
  2. Step 2: Convert to fraction form
    397,800.96/596,522.88 = 117,219.84/x
  3. Step 3: Cross multiply
    397,800.96x = 596,522.88 × 117,219.84
  4. Step 4: Simplify right side
    397,800.96x = 69,924,316,549.94
  5. Step 5: Solve for x
    x = 69,924,316,549.94/397,800.96
  6. Step 6: Final answer
    x = 175,777.14

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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.