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Finding the Fourth Proportional to 302,860.74, 417,946.96 and 166,894.65

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Solution

The fourth proportional to 302,860.74, 417,946.96 and 166,894.65 is: 230,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,860.74 : 417,946.96 = 166,894.65 : x
  2. Step 2: Convert to fraction form
    302,860.74/417,946.96 = 166,894.65/x
  3. Step 3: Cross multiply
    302,860.74x = 417,946.96 × 166,894.65
  4. Step 4: Simplify right side
    302,860.74x = 69,753,111,816.38
  5. Step 5: Solve for x
    x = 69,753,111,816.38/302,860.74
  6. Step 6: Final answer
    x = 230,314.14

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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.