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Finding the Fourth Proportional to 473,214.41, 653,110.86 and 300,952.78

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Solution

The fourth proportional to 473,214.41, 653,110.86 and 300,952.78 is: 415,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,214.41 : 653,110.86 = 300,952.78 : x
  2. Step 2: Convert to fraction form
    473,214.41/653,110.86 = 300,952.78/x
  3. Step 3: Cross multiply
    473,214.41x = 653,110.86 × 300,952.78
  4. Step 4: Simplify right side
    473,214.41x = 196,555,528,965.19
  5. Step 5: Solve for x
    x = 196,555,528,965.19/473,214.41
  6. Step 6: Final answer
    x = 415,362.52

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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.