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Finding the Fourth Proportional to 364,140.56, 502,543.89 and 200,829.01

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Solution

The fourth proportional to 364,140.56, 502,543.89 and 200,829.01 is: 277,160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,140.56 : 502,543.89 = 200,829.01 : x
  2. Step 2: Convert to fraction form
    364,140.56/502,543.89 = 200,829.01/x
  3. Step 3: Cross multiply
    364,140.56x = 502,543.89 × 200,829.01
  4. Step 4: Simplify right side
    364,140.56x = 100,925,389,397.53
  5. Step 5: Solve for x
    x = 100,925,389,397.53/364,140.56
  6. Step 6: Final answer
    x = 277,160.53

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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.