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Finding the Fourth Proportional to 472,882.56, 652,675.05 and 289,152.54

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Solution

The fourth proportional to 472,882.56, 652,675.05 and 289,152.54 is: 399,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,882.56 : 652,675.05 = 289,152.54 : x
  2. Step 2: Convert to fraction form
    472,882.56/652,675.05 = 289,152.54/x
  3. Step 3: Cross multiply
    472,882.56x = 652,675.05 × 289,152.54
  4. Step 4: Simplify right side
    472,882.56x = 188,722,648,502.13
  5. Step 5: Solve for x
    x = 188,722,648,502.13/472,882.56
  6. Step 6: Final answer
    x = 399,089.89

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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.