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Finding the Fourth Proportional to 462,505.77, 693,898.38 and 219,533.31

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Solution

The fourth proportional to 462,505.77, 693,898.38 and 219,533.31 is: 329,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,505.77 : 693,898.38 = 219,533.31 : x
  2. Step 2: Convert to fraction form
    462,505.77/693,898.38 = 219,533.31/x
  3. Step 3: Cross multiply
    462,505.77x = 693,898.38 × 219,533.31
  4. Step 4: Simplify right side
    462,505.77x = 152,333,808,165.04
  5. Step 5: Solve for x
    x = 152,333,808,165.04/462,505.77
  6. Step 6: Final answer
    x = 329,366.29

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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.