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Finding the Fourth Proportional to 429,056.79, 643,589.06 and 109,209.01

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Solution

The fourth proportional to 429,056.79, 643,589.06 and 109,209.01 is: 163,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,056.79 : 643,589.06 = 109,209.01 : x
  2. Step 2: Convert to fraction form
    429,056.79/643,589.06 = 109,209.01/x
  3. Step 3: Cross multiply
    429,056.79x = 643,589.06 × 109,209.01
  4. Step 4: Simplify right side
    429,056.79x = 70,285,724,089.43
  5. Step 5: Solve for x
    x = 70,285,724,089.43/429,056.79
  6. Step 6: Final answer
    x = 163,814.50

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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.