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Finding the Fourth Proportional to 509,810.92, 764,666.67 and 154,828.01

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Solution

The fourth proportional to 509,810.92, 764,666.67 and 154,828.01 is: 232,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,810.92 : 764,666.67 = 154,828.01 : x
  2. Step 2: Convert to fraction form
    509,810.92/764,666.67 = 154,828.01/x
  3. Step 3: Cross multiply
    509,810.92x = 764,666.67 × 154,828.01
  4. Step 4: Simplify right side
    509,810.92x = 118,391,821,321.70
  5. Step 5: Solve for x
    x = 118,391,821,321.70/509,810.92
  6. Step 6: Final answer
    x = 232,226.92

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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.