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Finding the Fourth Proportional to 511,466, 705,823.13 and 285,111.50

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Solution

The fourth proportional to 511,466, 705,823.13 and 285,111.50 is: 393,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,466 : 705,823.13 = 285,111.50 : x
  2. Step 2: Convert to fraction form
    511,466/705,823.13 = 285,111.50/x
  3. Step 3: Cross multiply
    511,466x = 705,823.13 × 285,111.50
  4. Step 4: Simplify right side
    511,466x = 201,238,289,903.44
  5. Step 5: Solve for x
    x = 201,238,289,903.44/511,466
  6. Step 6: Final answer
    x = 393,453.90

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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.