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Finding the Fourth Proportional to 314,965.64, 471,695.77 and 172,596.80

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Solution

The fourth proportional to 314,965.64, 471,695.77 and 172,596.80 is: 258,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,965.64 : 471,695.77 = 172,596.80 : x
  2. Step 2: Convert to fraction form
    314,965.64/471,695.77 = 172,596.80/x
  3. Step 3: Cross multiply
    314,965.64x = 471,695.77 × 172,596.80
  4. Step 4: Simplify right side
    314,965.64x = 81,413,180,475.54
  5. Step 5: Solve for x
    x = 81,413,180,475.54/314,965.64
  6. Step 6: Final answer
    x = 258,482.74

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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.