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Finding the Fourth Proportional to 313,494.30, 432,630.70 and 184,441.86

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Solution

The fourth proportional to 313,494.30, 432,630.70 and 184,441.86 is: 254,534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,494.30 : 432,630.70 = 184,441.86 : x
  2. Step 2: Convert to fraction form
    313,494.30/432,630.70 = 184,441.86/x
  3. Step 3: Cross multiply
    313,494.30x = 432,630.70 × 184,441.86
  4. Step 4: Simplify right side
    313,494.30x = 79,795,211,001.10
  5. Step 5: Solve for x
    x = 79,795,211,001.10/313,494.30
  6. Step 6: Final answer
    x = 254,534.81

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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.