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Finding the Fourth Proportional to 509,800.14, 703,233.54 and 316,119.42

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Solution

The fourth proportional to 509,800.14, 703,233.54 and 316,119.42 is: 436,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,800.14 : 703,233.54 = 316,119.42 : x
  2. Step 2: Convert to fraction form
    509,800.14/703,233.54 = 316,119.42/x
  3. Step 3: Cross multiply
    509,800.14x = 703,233.54 × 316,119.42
  4. Step 4: Simplify right side
    509,800.14x = 222,305,778,789.35
  5. Step 5: Solve for x
    x = 222,305,778,789.35/509,800.14
  6. Step 6: Final answer
    x = 436,064.57

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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.