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Finding the Fourth Proportional to 590,215, 814,496.70 and 321,943

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Solution

The fourth proportional to 590,215, 814,496.70 and 321,943 is: 444,281.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,215 : 814,496.70 = 321,943 : x
  2. Step 2: Convert to fraction form
    590,215/814,496.70 = 321,943/x
  3. Step 3: Cross multiply
    590,215x = 814,496.70 × 321,943
  4. Step 4: Simplify right side
    590,215x = 262,221,511,088.10
  5. Step 5: Solve for x
    x = 262,221,511,088.10/590,215
  6. Step 6: Final answer
    x = 444,281.34

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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.