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Finding the Fourth Proportional to 493,438.30, 739,984.65 and 256,702.30

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Solution

The fourth proportional to 493,438.30, 739,984.65 and 256,702.30 is: 384,963.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,438.30 : 739,984.65 = 256,702.30 : x
  2. Step 2: Convert to fraction form
    493,438.30/739,984.65 = 256,702.30/x
  3. Step 3: Cross multiply
    493,438.30x = 739,984.65 × 256,702.30
  4. Step 4: Simplify right side
    493,438.30x = 189,955,761,619.70
  5. Step 5: Solve for x
    x = 189,955,761,619.70/493,438.30
  6. Step 6: Final answer
    x = 384,963.55

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1.5x scale

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.