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Finding the Fourth Proportional to 511,407.27, 705,600.32 and 293,614.88

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Solution

The fourth proportional to 511,407.27, 705,600.32 and 293,614.88 is: 405,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,407.27 : 705,600.32 = 293,614.88 : x
  2. Step 2: Convert to fraction form
    511,407.27/705,600.32 = 293,614.88/x
  3. Step 3: Cross multiply
    511,407.27x = 705,600.32 × 293,614.88
  4. Step 4: Simplify right side
    511,407.27x = 207,174,748,288.69
  5. Step 5: Solve for x
    x = 207,174,748,288.69/511,407.27
  6. Step 6: Final answer
    x = 405,107.16

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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.