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Finding the Fourth Proportional to 461,605.73, 692,339.33 and 146,021.63

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Solution

The fourth proportional to 461,605.73, 692,339.33 and 146,021.63 is: 219,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,605.73 : 692,339.33 = 146,021.63 : x
  2. Step 2: Convert to fraction form
    461,605.73/692,339.33 = 146,021.63/x
  3. Step 3: Cross multiply
    461,605.73x = 692,339.33 × 146,021.63
  4. Step 4: Simplify right side
    461,605.73x = 101,096,514,383.07
  5. Step 5: Solve for x
    x = 101,096,514,383.07/461,605.73
  6. Step 6: Final answer
    x = 219,010.53

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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.