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Finding the Fourth Proportional to 493,264.40, 739,896.60 and 257,068.40

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Solution

The fourth proportional to 493,264.40, 739,896.60 and 257,068.40 is: 385,602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,264.40 : 739,896.60 = 257,068.40 : x
  2. Step 2: Convert to fraction form
    493,264.40/739,896.60 = 257,068.40/x
  3. Step 3: Cross multiply
    493,264.40x = 739,896.60 × 257,068.40
  4. Step 4: Simplify right side
    493,264.40x = 190,204,035,127.44
  5. Step 5: Solve for x
    x = 190,204,035,127.44/493,264.40
  6. Step 6: Final answer
    x = 385,602.60

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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.