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Finding the Fourth Proportional to 590,514, 814,953.12 and 335,947.20

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Solution

The fourth proportional to 590,514, 814,953.12 and 335,947.20 is: 463,632.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,514 : 814,953.12 = 335,947.20 : x
  2. Step 2: Convert to fraction form
    590,514/814,953.12 = 335,947.20/x
  3. Step 3: Cross multiply
    590,514x = 814,953.12 × 335,947.20
  4. Step 4: Simplify right side
    590,514x = 273,781,218,795.26
  5. Step 5: Solve for x
    x = 273,781,218,795.26/590,514
  6. Step 6: Final answer
    x = 463,632.05

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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.