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Finding the Fourth Proportional to 509,622.60, 764,506.80 and 154,664.40

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Solution

The fourth proportional to 509,622.60, 764,506.80 and 154,664.40 is: 232,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,622.60 : 764,506.80 = 154,664.40 : x
  2. Step 2: Convert to fraction form
    509,622.60/764,506.80 = 154,664.40/x
  3. Step 3: Cross multiply
    509,622.60x = 764,506.80 × 154,664.40
  4. Step 4: Simplify right side
    509,622.60x = 118,241,985,517.92
  5. Step 5: Solve for x
    x = 118,241,985,517.92/509,622.60
  6. Step 6: Final answer
    x = 232,018.72

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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.