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Finding the Fourth Proportional to 541,535.14, 747,309.54 and 299,812.51

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Solution

The fourth proportional to 541,535.14, 747,309.54 and 299,812.51 is: 413,736.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,535.14 : 747,309.54 = 299,812.51 : x
  2. Step 2: Convert to fraction form
    541,535.14/747,309.54 = 299,812.51/x
  3. Step 3: Cross multiply
    541,535.14x = 747,309.54 × 299,812.51
  4. Step 4: Simplify right side
    541,535.14x = 224,052,748,934.35
  5. Step 5: Solve for x
    x = 224,052,748,934.35/541,535.14
  6. Step 6: Final answer
    x = 413,736.31

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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.