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Finding the Fourth Proportional to 460,464.78, 690,784.65 and 161,030.46

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Solution

The fourth proportional to 460,464.78, 690,784.65 and 161,030.46 is: 241,576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,464.78 : 690,784.65 = 161,030.46 : x
  2. Step 2: Convert to fraction form
    460,464.78/690,784.65 = 161,030.46/x
  3. Step 3: Cross multiply
    460,464.78x = 690,784.65 × 161,030.46
  4. Step 4: Simplify right side
    460,464.78x = 111,237,369,950.44
  5. Step 5: Solve for x
    x = 111,237,369,950.44/460,464.78
  6. Step 6: Final answer
    x = 241,576.28

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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.