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Finding the Fourth Proportional to 303,054.66, 418,208.85 and 175,742.10

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Solution

The fourth proportional to 303,054.66, 418,208.85 and 175,742.10 is: 242,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,054.66 : 418,208.85 = 175,742.10 : x
  2. Step 2: Convert to fraction form
    303,054.66/418,208.85 = 175,742.10/x
  3. Step 3: Cross multiply
    303,054.66x = 418,208.85 × 175,742.10
  4. Step 4: Simplify right side
    303,054.66x = 73,496,901,537.59
  5. Step 5: Solve for x
    x = 73,496,901,537.59/303,054.66
  6. Step 6: Final answer
    x = 242,520.28

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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.