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Finding the Fourth Proportional to 549,389.25, 827,827.43 and 451,737

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Solution

The fourth proportional to 549,389.25, 827,827.43 and 451,737 is: 680,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,389.25 : 827,827.43 = 451,737 : x
  2. Step 2: Convert to fraction form
    549,389.25/827,827.43 = 451,737/x
  3. Step 3: Cross multiply
    549,389.25x = 827,827.43 × 451,737
  4. Step 4: Simplify right side
    549,389.25x = 373,960,277,487.23
  5. Step 5: Solve for x
    x = 373,960,277,487.23/549,389.25
  6. Step 6: Final answer
    x = 680,683.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.