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Finding the Fourth Proportional to 473,644.95, 653,622.41 and 258,780.41

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Solution

The fourth proportional to 473,644.95, 653,622.41 and 258,780.41 is: 357,112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,644.95 : 653,622.41 = 258,780.41 : x
  2. Step 2: Convert to fraction form
    473,644.95/653,622.41 = 258,780.41/x
  3. Step 3: Cross multiply
    473,644.95x = 653,622.41 × 258,780.41
  4. Step 4: Simplify right side
    473,644.95x = 169,144,670,682.97
  5. Step 5: Solve for x
    x = 169,144,670,682.97/473,644.95
  6. Step 6: Final answer
    x = 357,112.79

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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.