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Finding the Fourth Proportional to 590,521, 814,962.78 and 335,954.20

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Solution

The fourth proportional to 590,521, 814,962.78 and 335,954.20 is: 463,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,521 : 814,962.78 = 335,954.20 : x
  2. Step 2: Convert to fraction form
    590,521/814,962.78 = 335,954.20/x
  3. Step 3: Cross multiply
    590,521x = 814,962.78 × 335,954.20
  4. Step 4: Simplify right side
    590,521x = 273,790,168,784.68
  5. Step 5: Solve for x
    x = 273,790,168,784.68/590,521
  6. Step 6: Final answer
    x = 463,641.71

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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.