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Finding the Fourth Proportional to 473,296.69, 653,151.83 and 258,436.75

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Solution

The fourth proportional to 473,296.69, 653,151.83 and 258,436.75 is: 356,644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,296.69 : 653,151.83 = 258,436.75 : x
  2. Step 2: Convert to fraction form
    473,296.69/653,151.83 = 258,436.75/x
  3. Step 3: Cross multiply
    473,296.69x = 653,151.83 × 258,436.75
  4. Step 4: Simplify right side
    473,296.69x = 168,798,436,201.75
  5. Step 5: Solve for x
    x = 168,798,436,201.75/473,296.69
  6. Step 6: Final answer
    x = 356,644.02

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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.