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Finding the Fourth Proportional to 425,264.43, 637,675.16 and 200,564.54

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Solution

The fourth proportional to 425,264.43, 637,675.16 and 200,564.54 is: 300,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,264.43 : 637,675.16 = 200,564.54 : x
  2. Step 2: Convert to fraction form
    425,264.43/637,675.16 = 200,564.54/x
  3. Step 3: Cross multiply
    425,264.43x = 637,675.16 × 200,564.54
  4. Step 4: Simplify right side
    425,264.43x = 127,895,021,946.45
  5. Step 5: Solve for x
    x = 127,895,021,946.45/425,264.43
  6. Step 6: Final answer
    x = 300,742.35

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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.