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Finding the Fourth Proportional to 552,653.50, 762,661.86 and 314,189.50

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Solution

The fourth proportional to 552,653.50, 762,661.86 and 314,189.50 is: 433,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,653.50 : 762,661.86 = 314,189.50 : x
  2. Step 2: Convert to fraction form
    552,653.50/762,661.86 = 314,189.50/x
  3. Step 3: Cross multiply
    552,653.50x = 762,661.86 × 314,189.50
  4. Step 4: Simplify right side
    552,653.50x = 239,620,348,462.47
  5. Step 5: Solve for x
    x = 239,620,348,462.47/552,653.50
  6. Step 6: Final answer
    x = 433,581.53

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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.