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Finding the Fourth Proportional to 400,894.65, 601,341.57 and 164,237.76

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Solution

The fourth proportional to 400,894.65, 601,341.57 and 164,237.76 is: 246,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,894.65 : 601,341.57 = 164,237.76 : x
  2. Step 2: Convert to fraction form
    400,894.65/601,341.57 = 164,237.76/x
  3. Step 3: Cross multiply
    400,894.65x = 601,341.57 × 164,237.76
  4. Step 4: Simplify right side
    400,894.65x = 98,762,992,451.68
  5. Step 5: Solve for x
    x = 98,762,992,451.68/400,894.65
  6. Step 6: Final answer
    x = 246,356.47

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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.