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Finding the Fourth Proportional to 497,563.65, 686,638.02 and 282,704.00

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Solution

The fourth proportional to 497,563.65, 686,638.02 and 282,704.00 is: 390,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,563.65 : 686,638.02 = 282,704.00 : x
  2. Step 2: Convert to fraction form
    497,563.65/686,638.02 = 282,704.00/x
  3. Step 3: Cross multiply
    497,563.65x = 686,638.02 × 282,704.00
  4. Step 4: Simplify right side
    497,563.65x = 194,115,311,372.89
  5. Step 5: Solve for x
    x = 194,115,311,372.89/497,563.65
  6. Step 6: Final answer
    x = 390,131.62

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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.