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Finding the Fourth Proportional to 511,000.44, 705,196.58 and 293,248.94

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Solution

The fourth proportional to 511,000.44, 705,196.58 and 293,248.94 is: 404,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,000.44 : 705,196.58 = 293,248.94 : x
  2. Step 2: Convert to fraction form
    511,000.44/705,196.58 = 293,248.94/x
  3. Step 3: Cross multiply
    511,000.44x = 705,196.58 × 293,248.94
  4. Step 4: Simplify right side
    511,000.44x = 206,798,149,576.63
  5. Step 5: Solve for x
    x = 206,798,149,576.63/511,000.44
  6. Step 6: Final answer
    x = 404,692.70

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1.5x scale

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.