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Finding the Fourth Proportional to 458,162.53, 630,022.25 and 397,628.08

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Solution

The fourth proportional to 458,162.53, 630,022.25 and 397,628.08 is: 546,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,162.53 : 630,022.25 = 397,628.08 : x
  2. Step 2: Convert to fraction form
    458,162.53/630,022.25 = 397,628.08/x
  3. Step 3: Cross multiply
    458,162.53x = 630,022.25 × 397,628.08
  4. Step 4: Simplify right side
    458,162.53x = 250,514,537,624.78
  5. Step 5: Solve for x
    x = 250,514,537,624.78/458,162.53
  6. Step 6: Final answer
    x = 546,780.94

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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.