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Finding the Fourth Proportional to 413,911.07, 620,347.44 and 176,975.63

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Solution

The fourth proportional to 413,911.07, 620,347.44 and 176,975.63 is: 265,241.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,911.07 : 620,347.44 = 176,975.63 : x
  2. Step 2: Convert to fraction form
    413,911.07/620,347.44 = 176,975.63/x
  3. Step 3: Cross multiply
    413,911.07x = 620,347.44 × 176,975.63
  4. Step 4: Simplify right side
    413,911.07x = 109,786,379,012.89
  5. Step 5: Solve for x
    x = 109,786,379,012.89/413,911.07
  6. Step 6: Final answer
    x = 265,241.47

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1.5x scale

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.