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Finding the Fourth Proportional to 380,476.34, 570,752.28 and 140,653.10

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Solution

The fourth proportional to 380,476.34, 570,752.28 and 140,653.10 is: 210,993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,476.34 : 570,752.28 = 140,653.10 : x
  2. Step 2: Convert to fraction form
    380,476.34/570,752.28 = 140,653.10/x
  3. Step 3: Cross multiply
    380,476.34x = 570,752.28 × 140,653.10
  4. Step 4: Simplify right side
    380,476.34x = 80,278,077,514.07
  5. Step 5: Solve for x
    x = 80,278,077,514.07/380,476.34
  6. Step 6: Final answer
    x = 210,993.61

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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.