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Finding the Fourth Proportional to 446,094.64, 615,460.68 and 285,043.96

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Solution

The fourth proportional to 446,094.64, 615,460.68 and 285,043.96 is: 393,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,094.64 : 615,460.68 = 285,043.96 : x
  2. Step 2: Convert to fraction form
    446,094.64/615,460.68 = 285,043.96/x
  3. Step 3: Cross multiply
    446,094.64x = 615,460.68 × 285,043.96
  4. Step 4: Simplify right side
    446,094.64x = 175,433,349,451.49
  5. Step 5: Solve for x
    x = 175,433,349,451.49/446,094.64
  6. Step 6: Final answer
    x = 393,264.87

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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.