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Finding the Fourth Proportional to 320,184, 441,862.74 and 176,953.32

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Solution

The fourth proportional to 320,184, 441,862.74 and 176,953.32 is: 244,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,184 : 441,862.74 = 176,953.32 : x
  2. Step 2: Convert to fraction form
    320,184/441,862.74 = 176,953.32/x
  3. Step 3: Cross multiply
    320,184x = 441,862.74 × 176,953.32
  4. Step 4: Simplify right side
    320,184x = 78,189,078,827.30
  5. Step 5: Solve for x
    x = 78,189,078,827.30/320,184
  6. Step 6: Final answer
    x = 244,200.46

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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.