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Finding the Fourth Proportional to 299,950.85, 413,657.84 and 234,548.16

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Solution

The fourth proportional to 299,950.85, 413,657.84 and 234,548.16 is: 323,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,950.85 : 413,657.84 = 234,548.16 : x
  2. Step 2: Convert to fraction form
    299,950.85/413,657.84 = 234,548.16/x
  3. Step 3: Cross multiply
    299,950.85x = 413,657.84 × 234,548.16
  4. Step 4: Simplify right side
    299,950.85x = 97,022,682,957.39
  5. Step 5: Solve for x
    x = 97,022,682,957.39/299,950.85
  6. Step 6: Final answer
    x = 323,461.94

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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.