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Finding the Fourth Proportional to 508,546.53, 701,827.02 and 282,192.03

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Solution

The fourth proportional to 508,546.53, 701,827.02 and 282,192.03 is: 389,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,546.53 : 701,827.02 = 282,192.03 : x
  2. Step 2: Convert to fraction form
    508,546.53/701,827.02 = 282,192.03/x
  3. Step 3: Cross multiply
    508,546.53x = 701,827.02 × 282,192.03
  4. Step 4: Simplify right side
    508,546.53x = 198,049,991,482.65
  5. Step 5: Solve for x
    x = 198,049,991,482.65/508,546.53
  6. Step 6: Final answer
    x = 389,443.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.