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Finding the Fourth Proportional to 458,668.47, 632,970.94 and 254,738.42

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Solution

The fourth proportional to 458,668.47, 632,970.94 and 254,738.42 is: 351,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,668.47 : 632,970.94 = 254,738.42 : x
  2. Step 2: Convert to fraction form
    458,668.47/632,970.94 = 254,738.42/x
  3. Step 3: Cross multiply
    458,668.47x = 632,970.94 × 254,738.42
  4. Step 4: Simplify right side
    458,668.47x = 161,242,016,688.72
  5. Step 5: Solve for x
    x = 161,242,016,688.72/458,668.47
  6. Step 6: Final answer
    x = 351,543.71

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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.