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Finding the Fourth Proportional to 509,532.10, 764,200.95 and 154,557.70

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Solution

The fourth proportional to 509,532.10, 764,200.95 and 154,557.70 is: 231,807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,532.10 : 764,200.95 = 154,557.70 : x
  2. Step 2: Convert to fraction form
    509,532.10/764,200.95 = 154,557.70/x
  3. Step 3: Cross multiply
    509,532.10x = 764,200.95 × 154,557.70
  4. Step 4: Simplify right side
    509,532.10x = 118,113,141,169.82
  5. Step 5: Solve for x
    x = 118,113,141,169.82/509,532.10
  6. Step 6: Final answer
    x = 231,807.07

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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.