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Finding the Fourth Proportional to 310,056.39, 465,188.13 and 120,523.14

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Solution

The fourth proportional to 310,056.39, 465,188.13 and 120,523.14 is: 180,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,056.39 : 465,188.13 = 120,523.14 : x
  2. Step 2: Convert to fraction form
    310,056.39/465,188.13 = 120,523.14/x
  3. Step 3: Cross multiply
    310,056.39x = 465,188.13 × 120,523.14
  4. Step 4: Simplify right side
    310,056.39x = 56,065,934,118.33
  5. Step 5: Solve for x
    x = 56,065,934,118.33/310,056.39
  6. Step 6: Final answer
    x = 180,824.96

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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.