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Finding the Fourth Proportional to 509,611.60, 764,490.30 and 154,653.40

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Solution

The fourth proportional to 509,611.60, 764,490.30 and 154,653.40 is: 232,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,611.60 : 764,490.30 = 154,653.40 : x
  2. Step 2: Convert to fraction form
    509,611.60/764,490.30 = 154,653.40/x
  3. Step 3: Cross multiply
    509,611.60x = 764,490.30 × 154,653.40
  4. Step 4: Simplify right side
    509,611.60x = 118,231,024,162.02
  5. Step 5: Solve for x
    x = 118,231,024,162.02/509,611.60
  6. Step 6: Final answer
    x = 232,002.22

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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.