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Finding the Fourth Proportional to 864,497.03, 1,296,630.69 and 257,274.45

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Solution

The fourth proportional to 864,497.03, 1,296,630.69 and 257,274.45 is: 385,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,497.03 : 1,296,630.69 = 257,274.45 : x
  2. Step 2: Convert to fraction form
    864,497.03/1,296,630.69 = 257,274.45/x
  3. Step 3: Cross multiply
    864,497.03x = 1,296,630.69 × 257,274.45
  4. Step 4: Simplify right side
    864,497.03x = 333,589,947,622.87
  5. Step 5: Solve for x
    x = 333,589,947,622.87/864,497.03
  6. Step 6: Final answer
    x = 385,877.50

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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.