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Finding the Fourth Proportional to 287,986.10, 431,201.55 and 287,986.10

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Solution

The fourth proportional to 287,986.10, 431,201.55 and 287,986.10 is: 431,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,986.10 : 431,201.55 = 287,986.10 : x
  2. Step 2: Convert to fraction form
    287,986.10/431,201.55 = 287,986.10/x
  3. Step 3: Cross multiply
    287,986.10x = 431,201.55 × 287,986.10
  4. Step 4: Simplify right side
    287,986.10x = 124,180,052,698.46
  5. Step 5: Solve for x
    x = 124,180,052,698.46/287,986.10
  6. Step 6: Final answer
    x = 431,201.55

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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.