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Finding the Fourth Proportional to 473,763.98, 653,796 and 258,904.08

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Solution

The fourth proportional to 473,763.98, 653,796 and 258,904.08 is: 357,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,763.98 : 653,796 = 258,904.08 : x
  2. Step 2: Convert to fraction form
    473,763.98/653,796 = 258,904.08/x
  3. Step 3: Cross multiply
    473,763.98x = 653,796 × 258,904.08
  4. Step 4: Simplify right side
    473,763.98x = 169,270,451,887.68
  5. Step 5: Solve for x
    x = 169,270,451,887.68/473,763.98
  6. Step 6: Final answer
    x = 357,288.56

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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.