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Finding the Fourth Proportional to 309,523.29, 464,416.16 and 169,117.89

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Solution

The fourth proportional to 309,523.29, 464,416.16 and 169,117.89 is: 253,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,523.29 : 464,416.16 = 169,117.89 : x
  2. Step 2: Convert to fraction form
    309,523.29/464,416.16 = 169,117.89/x
  3. Step 3: Cross multiply
    309,523.29x = 464,416.16 × 169,117.89
  4. Step 4: Simplify right side
    309,523.29x = 78,541,080,215.51
  5. Step 5: Solve for x
    x = 78,541,080,215.51/309,523.29
  6. Step 6: Final answer
    x = 253,748.53

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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.