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Finding the Fourth Proportional to 335,005.53, 502,400.31 and 110,312.47

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Solution

The fourth proportional to 335,005.53, 502,400.31 and 110,312.47 is: 165,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,005.53 : 502,400.31 = 110,312.47 : x
  2. Step 2: Convert to fraction form
    335,005.53/502,400.31 = 110,312.47/x
  3. Step 3: Cross multiply
    335,005.53x = 502,400.31 × 110,312.47
  4. Step 4: Simplify right side
    335,005.53x = 55,421,016,061.30
  5. Step 5: Solve for x
    x = 55,421,016,061.30/335,005.53
  6. Step 6: Final answer
    x = 165,433.14

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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.