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Finding the Fourth Proportional to 472,942.08, 652,674 and 258,096.06

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Solution

The fourth proportional to 472,942.08, 652,674 and 258,096.06 is: 356,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,942.08 : 652,674 = 258,096.06 : x
  2. Step 2: Convert to fraction form
    472,942.08/652,674 = 258,096.06/x
  3. Step 3: Cross multiply
    472,942.08x = 652,674 × 258,096.06
  4. Step 4: Simplify right side
    472,942.08x = 168,452,587,864.44
  5. Step 5: Solve for x
    x = 168,452,587,864.44/472,942.08
  6. Step 6: Final answer
    x = 356,180.16

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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.