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Finding the Fourth Proportional to 421,015.25, 580,994.26 and 230,024.54

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Solution

The fourth proportional to 421,015.25, 580,994.26 and 230,024.54 is: 317,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,015.25 : 580,994.26 = 230,024.54 : x
  2. Step 2: Convert to fraction form
    421,015.25/580,994.26 = 230,024.54/x
  3. Step 3: Cross multiply
    421,015.25x = 580,994.26 × 230,024.54
  4. Step 4: Simplify right side
    421,015.25x = 133,642,938,276.57
  5. Step 5: Solve for x
    x = 133,642,938,276.57/421,015.25
  6. Step 6: Final answer
    x = 317,430.16

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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.