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Finding the Fourth Proportional to 430,771.01, 594,454.14 and 269,714.86

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Solution

The fourth proportional to 430,771.01, 594,454.14 and 269,714.86 is: 372,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,771.01 : 594,454.14 = 269,714.86 : x
  2. Step 2: Convert to fraction form
    430,771.01/594,454.14 = 269,714.86/x
  3. Step 3: Cross multiply
    430,771.01x = 594,454.14 × 269,714.86
  4. Step 4: Simplify right side
    430,771.01x = 160,333,115,146.52
  5. Step 5: Solve for x
    x = 160,333,115,146.52/430,771.01
  6. Step 6: Final answer
    x = 372,200.34

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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.