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Finding the Fourth Proportional to 432,714.24, 597,169.17 and 241,727.22

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Solution

The fourth proportional to 432,714.24, 597,169.17 and 241,727.22 is: 333,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,714.24 : 597,169.17 = 241,727.22 : x
  2. Step 2: Convert to fraction form
    432,714.24/597,169.17 = 241,727.22/x
  3. Step 3: Cross multiply
    432,714.24x = 597,169.17 × 241,727.22
  4. Step 4: Simplify right side
    432,714.24x = 144,352,043,333.81
  5. Step 5: Solve for x
    x = 144,352,043,333.81/432,714.24
  6. Step 6: Final answer
    x = 333,596.70

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1.5x scale

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.