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Finding the Fourth Proportional to 395,437.15, 593,256.87 and 114,954.40

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Solution

The fourth proportional to 395,437.15, 593,256.87 and 114,954.40 is: 172,461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,437.15 : 593,256.87 = 114,954.40 : x
  2. Step 2: Convert to fraction form
    395,437.15/593,256.87 = 114,954.40/x
  3. Step 3: Cross multiply
    395,437.15x = 593,256.87 × 114,954.40
  4. Step 4: Simplify right side
    395,437.15x = 68,197,486,771.42
  5. Step 5: Solve for x
    x = 68,197,486,771.42/395,437.15
  6. Step 6: Final answer
    x = 172,461.00

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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.