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Finding the Fourth Proportional to 289,589.76, 399,634.01 and 176,412.51

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Solution

The fourth proportional to 289,589.76, 399,634.01 and 176,412.51 is: 243,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,589.76 : 399,634.01 = 176,412.51 : x
  2. Step 2: Convert to fraction form
    289,589.76/399,634.01 = 176,412.51/x
  3. Step 3: Cross multiply
    289,589.76x = 399,634.01 × 176,412.51
  4. Step 4: Simplify right side
    289,589.76x = 70,500,438,785.47
  5. Step 5: Solve for x
    x = 70,500,438,785.47/289,589.76
  6. Step 6: Final answer
    x = 243,449.35

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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.