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Finding the Fourth Proportional to 233,427.80, 350,141.70 and 209,808.20

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Solution

The fourth proportional to 233,427.80, 350,141.70 and 209,808.20 is: 314,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,427.80 : 350,141.70 = 209,808.20 : x
  2. Step 2: Convert to fraction form
    233,427.80/350,141.70 = 209,808.20/x
  3. Step 3: Cross multiply
    233,427.80x = 350,141.70 × 209,808.20
  4. Step 4: Simplify right side
    233,427.80x = 73,462,599,821.94
  5. Step 5: Solve for x
    x = 73,462,599,821.94/233,427.80
  6. Step 6: Final answer
    x = 314,712.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.