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Finding the Fourth Proportional to 471,901.98, 651,234.69 and 257,041.53

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Solution

The fourth proportional to 471,901.98, 651,234.69 and 257,041.53 is: 354,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,901.98 : 651,234.69 = 257,041.53 : x
  2. Step 2: Convert to fraction form
    471,901.98/651,234.69 = 257,041.53/x
  3. Step 3: Cross multiply
    471,901.98x = 651,234.69 × 257,041.53
  4. Step 4: Simplify right side
    471,901.98x = 167,394,361,106.68
  5. Step 5: Solve for x
    x = 167,394,361,106.68/471,901.98
  6. Step 6: Final answer
    x = 354,722.74

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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.