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Finding the Fourth Proportional to 541,467.51, 747,200.93 and 299,733

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Solution

The fourth proportional to 541,467.51, 747,200.93 and 299,733 is: 413,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,467.51 : 747,200.93 = 299,733 : x
  2. Step 2: Convert to fraction form
    541,467.51/747,200.93 = 299,733/x
  3. Step 3: Cross multiply
    541,467.51x = 747,200.93 × 299,733
  4. Step 4: Simplify right side
    541,467.51x = 223,960,776,351.69
  5. Step 5: Solve for x
    x = 223,960,776,351.69/541,467.51
  6. Step 6: Final answer
    x = 413,618.13

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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.