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Finding the Fourth Proportional to 255,150, 380,029.74 and 241,827.12

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Solution

The fourth proportional to 255,150, 380,029.74 and 241,827.12 is: 360,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,150 : 380,029.74 = 241,827.12 : x
  2. Step 2: Convert to fraction form
    255,150/380,029.74 = 241,827.12/x
  3. Step 3: Cross multiply
    255,150x = 380,029.74 × 241,827.12
  4. Step 4: Simplify right side
    255,150x = 91,901,497,538.55
  5. Step 5: Solve for x
    x = 91,901,497,538.55/255,150
  6. Step 6: Final answer
    x = 360,186.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.