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Finding the Fourth Proportional to 316,855.86, 474,671.37 and 176,188.02

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Solution

The fourth proportional to 316,855.86, 474,671.37 and 176,188.02 is: 263,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,855.86 : 474,671.37 = 176,188.02 : x
  2. Step 2: Convert to fraction form
    316,855.86/474,671.37 = 176,188.02/x
  3. Step 3: Cross multiply
    316,855.86x = 474,671.37 × 176,188.02
  4. Step 4: Simplify right side
    316,855.86x = 83,631,408,830.99
  5. Step 5: Solve for x
    x = 83,631,408,830.99/316,855.86
  6. Step 6: Final answer
    x = 263,941.49

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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.