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Finding the Fourth Proportional to 473,263.78, 653,103.66 and 258,403.84

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Solution

The fourth proportional to 473,263.78, 653,103.66 and 258,403.84 is: 356,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,263.78 : 653,103.66 = 258,403.84 : x
  2. Step 2: Convert to fraction form
    473,263.78/653,103.66 = 258,403.84/x
  3. Step 3: Cross multiply
    473,263.78x = 653,103.66 × 258,403.84
  4. Step 4: Simplify right side
    473,263.78x = 168,764,493,662.05
  5. Step 5: Solve for x
    x = 168,764,493,662.05/473,263.78
  6. Step 6: Final answer
    x = 356,597.10

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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.