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Finding the Fourth Proportional to 473,674, 653,961.72 and 304,206.88

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Solution

The fourth proportional to 473,674, 653,961.72 and 304,206.88 is: 419,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,674 : 653,961.72 = 304,206.88 : x
  2. Step 2: Convert to fraction form
    473,674/653,961.72 = 304,206.88/x
  3. Step 3: Cross multiply
    473,674x = 653,961.72 × 304,206.88
  4. Step 4: Simplify right side
    473,674x = 198,939,654,480.63
  5. Step 5: Solve for x
    x = 198,939,654,480.63/473,674
  6. Step 6: Final answer
    x = 419,992.77

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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.