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Finding the Fourth Proportional to 357,894.72, 536,448.24 and 147,417.84

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Solution

The fourth proportional to 357,894.72, 536,448.24 and 147,417.84 is: 220,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,894.72 : 536,448.24 = 147,417.84 : x
  2. Step 2: Convert to fraction form
    357,894.72/536,448.24 = 147,417.84/x
  3. Step 3: Cross multiply
    357,894.72x = 536,448.24 × 147,417.84
  4. Step 4: Simplify right side
    357,894.72x = 79,082,040,812.60
  5. Step 5: Solve for x
    x = 79,082,040,812.60/357,894.72
  6. Step 6: Final answer
    x = 220,964.54

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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.