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Finding the Fourth Proportional to 414,088.08, 571,438.12 and 232,800.84

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Solution

The fourth proportional to 414,088.08, 571,438.12 and 232,800.84 is: 321,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,088.08 : 571,438.12 = 232,800.84 : x
  2. Step 2: Convert to fraction form
    414,088.08/571,438.12 = 232,800.84/x
  3. Step 3: Cross multiply
    414,088.08x = 571,438.12 × 232,800.84
  4. Step 4: Simplify right side
    414,088.08x = 133,031,274,344.02
  5. Step 5: Solve for x
    x = 133,031,274,344.02/414,088.08
  6. Step 6: Final answer
    x = 321,263.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.