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Finding the Fourth Proportional to 471,461.27, 650,322.74 and 287,615.84

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Solution

The fourth proportional to 471,461.27, 650,322.74 and 287,615.84 is: 396,730.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,461.27 : 650,322.74 = 287,615.84 : x
  2. Step 2: Convert to fraction form
    471,461.27/650,322.74 = 287,615.84/x
  3. Step 3: Cross multiply
    471,461.27x = 650,322.74 × 287,615.84
  4. Step 4: Simplify right side
    471,461.27x = 187,043,118,603.63
  5. Step 5: Solve for x
    x = 187,043,118,603.63/471,461.27
  6. Step 6: Final answer
    x = 396,730.62

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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.