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Finding the Fourth Proportional to 275,732.30, 413,598.45 and 157,415.60

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Solution

The fourth proportional to 275,732.30, 413,598.45 and 157,415.60 is: 236,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,732.30 : 413,598.45 = 157,415.60 : x
  2. Step 2: Convert to fraction form
    275,732.30/413,598.45 = 157,415.60/x
  3. Step 3: Cross multiply
    275,732.30x = 413,598.45 × 157,415.60
  4. Step 4: Simplify right side
    275,732.30x = 65,106,848,165.82
  5. Step 5: Solve for x
    x = 65,106,848,165.82/275,732.30
  6. Step 6: Final answer
    x = 236,123.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.