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Finding the Fourth Proportional to 557,957.21, 770,122.16 and 343,289.49

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Solution

The fourth proportional to 557,957.21, 770,122.16 and 343,289.49 is: 473,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,957.21 : 770,122.16 = 343,289.49 : x
  2. Step 2: Convert to fraction form
    557,957.21/770,122.16 = 343,289.49/x
  3. Step 3: Cross multiply
    557,957.21x = 770,122.16 × 343,289.49
  4. Step 4: Simplify right side
    557,957.21x = 264,374,841,827.65
  5. Step 5: Solve for x
    x = 264,374,841,827.65/557,957.21
  6. Step 6: Final answer
    x = 473,826.38

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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.