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Finding the Fourth Proportional to 458,126.70, 632,193.42 and 254,175.45

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Solution

The fourth proportional to 458,126.70, 632,193.42 and 254,175.45 is: 350,750.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,126.70 : 632,193.42 = 254,175.45 : x
  2. Step 2: Convert to fraction form
    458,126.70/632,193.42 = 254,175.45/x
  3. Step 3: Cross multiply
    458,126.70x = 632,193.42 × 254,175.45
  4. Step 4: Simplify right side
    458,126.70x = 160,688,047,015.54
  5. Step 5: Solve for x
    x = 160,688,047,015.54/458,126.70
  6. Step 6: Final answer
    x = 350,750.23

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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.