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Finding the Fourth Proportional to 413,932.48, 620,902.56 and 164,678.08

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Solution

The fourth proportional to 413,932.48, 620,902.56 and 164,678.08 is: 247,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,932.48 : 620,902.56 = 164,678.08 : x
  2. Step 2: Convert to fraction form
    413,932.48/620,902.56 = 164,678.08/x
  3. Step 3: Cross multiply
    413,932.48x = 620,902.56 × 164,678.08
  4. Step 4: Simplify right side
    413,932.48x = 102,249,041,447.89
  5. Step 5: Solve for x
    x = 102,249,041,447.89/413,932.48
  6. Step 6: Final answer
    x = 247,018.65

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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.