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Finding the Fourth Proportional to 429,226.40, 643,288.80 and 239,686.40

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Solution

The fourth proportional to 429,226.40, 643,288.80 and 239,686.40 is: 359,222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,226.40 : 643,288.80 = 239,686.40 : x
  2. Step 2: Convert to fraction form
    429,226.40/643,288.80 = 239,686.40/x
  3. Step 3: Cross multiply
    429,226.40x = 643,288.80 × 239,686.40
  4. Step 4: Simplify right side
    429,226.40x = 154,187,576,632.32
  5. Step 5: Solve for x
    x = 154,187,576,632.32/429,226.40
  6. Step 6: Final answer
    x = 359,222.03

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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.