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Finding the Fourth Proportional to 335,838.83, 463,102.40 and 259,370.37

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Solution

The fourth proportional to 335,838.83, 463,102.40 and 259,370.37 is: 357,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,838.83 : 463,102.40 = 259,370.37 : x
  2. Step 2: Convert to fraction form
    335,838.83/463,102.40 = 259,370.37/x
  3. Step 3: Cross multiply
    335,838.83x = 463,102.40 × 259,370.37
  4. Step 4: Simplify right side
    335,838.83x = 120,115,041,484.31
  5. Step 5: Solve for x
    x = 120,115,041,484.31/335,838.83
  6. Step 6: Final answer
    x = 357,656.81

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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.