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Finding the Fourth Proportional to 323,451.76, 446,358.12 and 176,278.66

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Solution

The fourth proportional to 323,451.76, 446,358.12 and 176,278.66 is: 243,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,451.76 : 446,358.12 = 176,278.66 : x
  2. Step 2: Convert to fraction form
    323,451.76/446,358.12 = 176,278.66/x
  3. Step 3: Cross multiply
    323,451.76x = 446,358.12 × 176,278.66
  4. Step 4: Simplify right side
    323,451.76x = 78,683,411,273.72
  5. Step 5: Solve for x
    x = 78,683,411,273.72/323,451.76
  6. Step 6: Final answer
    x = 243,261.66

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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.