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Finding the Fourth Proportional to 229,083.40, 343,041.90 and 218,585.80

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Solution

The fourth proportional to 229,083.40, 343,041.90 and 218,585.80 is: 327,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,083.40 : 343,041.90 = 218,585.80 : x
  2. Step 2: Convert to fraction form
    229,083.40/343,041.90 = 218,585.80/x
  3. Step 3: Cross multiply
    229,083.40x = 343,041.90 × 218,585.80
  4. Step 4: Simplify right side
    229,083.40x = 74,984,088,145.02
  5. Step 5: Solve for x
    x = 74,984,088,145.02/229,083.40
  6. Step 6: Final answer
    x = 327,322.22

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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.