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Finding the Fourth Proportional to 304,868.72, 420,642.84 and 175,846.64

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Solution

The fourth proportional to 304,868.72, 420,642.84 and 175,846.64 is: 242,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,868.72 : 420,642.84 = 175,846.64 : x
  2. Step 2: Convert to fraction form
    304,868.72/420,642.84 = 175,846.64/x
  3. Step 3: Cross multiply
    304,868.72x = 420,642.84 × 175,846.64
  4. Step 4: Simplify right side
    304,868.72x = 73,968,630,054.06
  5. Step 5: Solve for x
    x = 73,968,630,054.06/304,868.72
  6. Step 6: Final answer
    x = 242,624.53

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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.