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Finding the Fourth Proportional to 504,666.16, 757,002.06 and 149,682.84

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Solution

The fourth proportional to 504,666.16, 757,002.06 and 149,682.84 is: 224,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,666.16 : 757,002.06 = 149,682.84 : x
  2. Step 2: Convert to fraction form
    504,666.16/757,002.06 = 149,682.84/x
  3. Step 3: Cross multiply
    504,666.16x = 757,002.06 × 149,682.84
  4. Step 4: Simplify right side
    504,666.16x = 113,310,218,226.65
  5. Step 5: Solve for x
    x = 113,310,218,226.65/504,666.16
  6. Step 6: Final answer
    x = 224,525.10

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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.