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Finding the Fourth Proportional to 307,318, 424,098.84 and 166,006

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Solution

The fourth proportional to 307,318, 424,098.84 and 166,006 is: 229,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,318 : 424,098.84 = 166,006 : x
  2. Step 2: Convert to fraction form
    307,318/424,098.84 = 166,006/x
  3. Step 3: Cross multiply
    307,318x = 424,098.84 × 166,006
  4. Step 4: Simplify right side
    307,318x = 70,402,952,033.04
  5. Step 5: Solve for x
    x = 70,402,952,033.04/307,318
  6. Step 6: Final answer
    x = 229,088.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.