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Finding the Fourth Proportional to 473,425.56, 653,317.16 and 258,566.49

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Solution

The fourth proportional to 473,425.56, 653,317.16 and 258,566.49 is: 356,816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,425.56 : 653,317.16 = 258,566.49 : x
  2. Step 2: Convert to fraction form
    473,425.56/653,317.16 = 258,566.49/x
  3. Step 3: Cross multiply
    473,425.56x = 653,317.16 × 258,566.49
  4. Step 4: Simplify right side
    473,425.56x = 168,925,923,625.14
  5. Step 5: Solve for x
    x = 168,925,923,625.14/473,425.56
  6. Step 6: Final answer
    x = 356,816.23

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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.