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Finding the Fourth Proportional to 471,329.91, 650,424.65 and 256,470.57

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Solution

The fourth proportional to 471,329.91, 650,424.65 and 256,470.57 is: 353,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,329.91 : 650,424.65 = 256,470.57 : x
  2. Step 2: Convert to fraction form
    471,329.91/650,424.65 = 256,470.57/x
  3. Step 3: Cross multiply
    471,329.91x = 650,424.65 × 256,470.57
  4. Step 4: Simplify right side
    471,329.91x = 166,814,779,445.20
  5. Step 5: Solve for x
    x = 166,814,779,445.20/471,329.91
  6. Step 6: Final answer
    x = 353,923.60

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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.