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Finding the Fourth Proportional to 541,309.70, 747,008.98 and 299,609.06

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Solution

The fourth proportional to 541,309.70, 747,008.98 and 299,609.06 is: 413,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,309.70 : 747,008.98 = 299,609.06 : x
  2. Step 2: Convert to fraction form
    541,309.70/747,008.98 = 299,609.06/x
  3. Step 3: Cross multiply
    541,309.70x = 747,008.98 × 299,609.06
  4. Step 4: Simplify right side
    541,309.70x = 223,810,653,825.29
  5. Step 5: Solve for x
    x = 223,810,653,825.29/541,309.70
  6. Step 6: Final answer
    x = 413,461.38

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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.