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Finding the Fourth Proportional to 412,944.93, 570,108.31 and 260,114.12

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Solution

The fourth proportional to 412,944.93, 570,108.31 and 260,114.12 is: 359,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,944.93 : 570,108.31 = 260,114.12 : x
  2. Step 2: Convert to fraction form
    412,944.93/570,108.31 = 260,114.12/x
  3. Step 3: Cross multiply
    412,944.93x = 570,108.31 × 260,114.12
  4. Step 4: Simplify right side
    412,944.93x = 148,293,222,107.57
  5. Step 5: Solve for x
    x = 148,293,222,107.57/412,944.93
  6. Step 6: Final answer
    x = 359,111.38

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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.