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Finding the Fourth Proportional to 413,714.20, 620,606.93 and 114,194.83

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Solution

The fourth proportional to 413,714.20, 620,606.93 and 114,194.83 is: 171,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,714.20 : 620,606.93 = 114,194.83 : x
  2. Step 2: Convert to fraction form
    413,714.20/620,606.93 = 114,194.83/x
  3. Step 3: Cross multiply
    413,714.20x = 620,606.93 × 114,194.83
  4. Step 4: Simplify right side
    413,714.20x = 70,870,105,338.19
  5. Step 5: Solve for x
    x = 70,870,105,338.19/413,714.20
  6. Step 6: Final answer
    x = 171,302.08

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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.