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Finding the Fourth Proportional to 462,529.60, 693,813.60 and 146,977.60

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Solution

The fourth proportional to 462,529.60, 693,813.60 and 146,977.60 is: 220,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,529.60 : 693,813.60 = 146,977.60 : x
  2. Step 2: Convert to fraction form
    462,529.60/693,813.60 = 146,977.60/x
  3. Step 3: Cross multiply
    462,529.60x = 693,813.60 × 146,977.60
  4. Step 4: Simplify right side
    462,529.60x = 101,975,057,775.36
  5. Step 5: Solve for x
    x = 101,975,057,775.36/462,529.60
  6. Step 6: Final answer
    x = 220,472.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.