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Finding the Fourth Proportional to 335,006.53, 502,401.80 and 110,313.47

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Solution

The fourth proportional to 335,006.53, 502,401.80 and 110,313.47 is: 165,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,006.53 : 502,401.80 = 110,313.47 : x
  2. Step 2: Convert to fraction form
    335,006.53/502,401.80 = 110,313.47/x
  3. Step 3: Cross multiply
    335,006.53x = 502,401.80 × 110,313.47
  4. Step 4: Simplify right side
    335,006.53x = 55,421,685,892.25
  5. Step 5: Solve for x
    x = 55,421,685,892.25/335,006.53
  6. Step 6: Final answer
    x = 165,434.64

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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.