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Finding the Fourth Proportional to 451,038.07, 622,416.28 and 257,455.77

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Solution

The fourth proportional to 451,038.07, 622,416.28 and 257,455.77 is: 355,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,038.07 : 622,416.28 = 257,455.77 : x
  2. Step 2: Convert to fraction form
    451,038.07/622,416.28 = 257,455.77/x
  3. Step 3: Cross multiply
    451,038.07x = 622,416.28 × 257,455.77
  4. Step 4: Simplify right side
    451,038.07x = 160,244,662,627.94
  5. Step 5: Solve for x
    x = 160,244,662,627.94/451,038.07
  6. Step 6: Final answer
    x = 355,279.68

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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.