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Finding the Fourth Proportional to 302,683.94, 417,706.65 and 166,718.38

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Solution

The fourth proportional to 302,683.94, 417,706.65 and 166,718.38 is: 230,072.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,683.94 : 417,706.65 = 166,718.38 : x
  2. Step 2: Convert to fraction form
    302,683.94/417,706.65 = 166,718.38/x
  3. Step 3: Cross multiply
    302,683.94x = 417,706.65 × 166,718.38
  4. Step 4: Simplify right side
    302,683.94x = 69,639,376,003.23
  5. Step 5: Solve for x
    x = 69,639,376,003.23/302,683.94
  6. Step 6: Final answer
    x = 230,072.91

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1.5x scale

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.