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Finding the Fourth Proportional to 590,257.92, 814,554.24 and 321,984

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Solution

The fourth proportional to 590,257.92, 814,554.24 and 321,984 is: 444,337.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,257.92 : 814,554.24 = 321,984 : x
  2. Step 2: Convert to fraction form
    590,257.92/814,554.24 = 321,984/x
  3. Step 3: Cross multiply
    590,257.92x = 814,554.24 × 321,984
  4. Step 4: Simplify right side
    590,257.92x = 262,273,432,412.16
  5. Step 5: Solve for x
    x = 262,273,432,412.16/590,257.92
  6. Step 6: Final answer
    x = 444,337.00

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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.