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Finding the Fourth Proportional to 297,967.10, 410,792.10 and 202,307.72

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Solution

The fourth proportional to 297,967.10, 410,792.10 and 202,307.72 is: 278,911.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,967.10 : 410,792.10 = 202,307.72 : x
  2. Step 2: Convert to fraction form
    297,967.10/410,792.10 = 202,307.72/x
  3. Step 3: Cross multiply
    297,967.10x = 410,792.10 × 202,307.72
  4. Step 4: Simplify right side
    297,967.10x = 83,106,413,145.01
  5. Step 5: Solve for x
    x = 83,106,413,145.01/297,967.10
  6. Step 6: Final answer
    x = 278,911.37

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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.