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Finding the Fourth Proportional to 394,710, 592,071.12 and 114,228.24

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Solution

The fourth proportional to 394,710, 592,071.12 and 114,228.24 is: 171,344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,710 : 592,071.12 = 114,228.24 : x
  2. Step 2: Convert to fraction form
    394,710/592,071.12 = 114,228.24/x
  3. Step 3: Cross multiply
    394,710x = 592,071.12 × 114,228.24
  4. Step 4: Simplify right side
    394,710x = 67,631,241,992.43
  5. Step 5: Solve for x
    x = 67,631,241,992.43/394,710
  6. Step 6: Final answer
    x = 171,344.13

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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.