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Finding the Fourth Proportional to 323,497.85, 446,421.05 and 176,323.98

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Solution

The fourth proportional to 323,497.85, 446,421.05 and 176,323.98 is: 243,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,497.85 : 446,421.05 = 176,323.98 : x
  2. Step 2: Convert to fraction form
    323,497.85/446,421.05 = 176,323.98/x
  3. Step 3: Cross multiply
    323,497.85x = 446,421.05 × 176,323.98
  4. Step 4: Simplify right side
    323,497.85x = 78,714,736,226.16
  5. Step 5: Solve for x
    x = 78,714,736,226.16/323,497.85
  6. Step 6: Final answer
    x = 243,323.83

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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.