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Finding the Fourth Proportional to 557,925.44, 769,953.92 and 316,208.48

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Solution

The fourth proportional to 557,925.44, 769,953.92 and 316,208.48 is: 436,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,925.44 : 769,953.92 = 316,208.48 : x
  2. Step 2: Convert to fraction form
    557,925.44/769,953.92 = 316,208.48/x
  3. Step 3: Cross multiply
    557,925.44x = 769,953.92 × 316,208.48
  4. Step 4: Simplify right side
    557,925.44x = 243,465,958,713.24
  5. Step 5: Solve for x
    x = 243,465,958,713.24/557,925.44
  6. Step 6: Final answer
    x = 436,377.23

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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.