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Finding the Fourth Proportional to 508,587.88, 701,827.62 and 282,231.40

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Solution

The fourth proportional to 508,587.88, 701,827.62 and 282,231.40 is: 389,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,587.88 : 701,827.62 = 282,231.40 : x
  2. Step 2: Convert to fraction form
    508,587.88/701,827.62 = 282,231.40/x
  3. Step 3: Cross multiply
    508,587.88x = 701,827.62 × 282,231.40
  4. Step 4: Simplify right side
    508,587.88x = 198,077,791,751.27
  5. Step 5: Solve for x
    x = 198,077,791,751.27/508,587.88
  6. Step 6: Final answer
    x = 389,466.21

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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.