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Finding the Fourth Proportional to 320,872.66, 442,809.52 and 175,676.01

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Solution

The fourth proportional to 320,872.66, 442,809.52 and 175,676.01 is: 242,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,872.66 : 442,809.52 = 175,676.01 : x
  2. Step 2: Convert to fraction form
    320,872.66/442,809.52 = 175,676.01/x
  3. Step 3: Cross multiply
    320,872.66x = 442,809.52 × 175,676.01
  4. Step 4: Simplify right side
    320,872.66x = 77,791,010,054.69
  5. Step 5: Solve for x
    x = 77,791,010,054.69/320,872.66
  6. Step 6: Final answer
    x = 242,435.77

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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.