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Finding the Fourth Proportional to 413,714.71, 620,607.68 and 114,195.34

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Solution

The fourth proportional to 413,714.71, 620,607.68 and 114,195.34 is: 171,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,714.71 : 620,607.68 = 114,195.34 : x
  2. Step 2: Convert to fraction form
    413,714.71/620,607.68 = 114,195.34/x
  3. Step 3: Cross multiply
    413,714.71x = 620,607.68 × 114,195.34
  4. Step 4: Simplify right side
    413,714.71x = 70,870,502,206.66
  5. Step 5: Solve for x
    x = 70,870,502,206.66/413,714.71
  6. Step 6: Final answer
    x = 171,302.84

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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.