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Finding the Fourth Proportional to 310,457.86, 465,689.67 and 123,517.06

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Solution

The fourth proportional to 310,457.86, 465,689.67 and 123,517.06 is: 185,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,457.86 : 465,689.67 = 123,517.06 : x
  2. Step 2: Convert to fraction form
    310,457.86/465,689.67 = 123,517.06/x
  3. Step 3: Cross multiply
    310,457.86x = 465,689.67 × 123,517.06
  4. Step 4: Simplify right side
    310,457.86x = 57,520,618,910.77
  5. Step 5: Solve for x
    x = 57,520,618,910.77/310,457.86
  6. Step 6: Final answer
    x = 185,276.74

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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.