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Finding the Fourth Proportional to 309,393.35, 464,134.53 and 117,338.48

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Solution

The fourth proportional to 309,393.35, 464,134.53 and 117,338.48 is: 176,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,393.35 : 464,134.53 = 117,338.48 : x
  2. Step 2: Convert to fraction form
    309,393.35/464,134.53 = 117,338.48/x
  3. Step 3: Cross multiply
    309,393.35x = 464,134.53 × 117,338.48
  4. Step 4: Simplify right side
    309,393.35x = 54,460,840,265.71
  5. Step 5: Solve for x
    x = 54,460,840,265.71/309,393.35
  6. Step 6: Final answer
    x = 176,024.60

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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.