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Finding the Fourth Proportional to 425,264.34, 637,675.04 and 200,564.44

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Solution

The fourth proportional to 425,264.34, 637,675.04 and 200,564.44 is: 300,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,264.34 : 637,675.04 = 200,564.44 : x
  2. Step 2: Convert to fraction form
    425,264.34/637,675.04 = 200,564.44/x
  3. Step 3: Cross multiply
    425,264.34x = 637,675.04 × 200,564.44
  4. Step 4: Simplify right side
    425,264.34x = 127,894,939,927.49
  5. Step 5: Solve for x
    x = 127,894,939,927.49/425,264.34
  6. Step 6: Final answer
    x = 300,742.21

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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.