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Finding the Fourth Proportional to 509,658.48, 764,516.88 and 154,684.08

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Solution

The fourth proportional to 509,658.48, 764,516.88 and 154,684.08 is: 232,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,658.48 : 764,516.88 = 154,684.08 : x
  2. Step 2: Convert to fraction form
    509,658.48/764,516.88 = 154,684.08/x
  3. Step 3: Cross multiply
    509,658.48x = 764,516.88 × 154,684.08
  4. Step 4: Simplify right side
    509,658.48x = 118,258,590,227.27
  5. Step 5: Solve for x
    x = 118,258,590,227.27/509,658.48
  6. Step 6: Final answer
    x = 232,034.97

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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.