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Finding the Fourth Proportional to 367,681.60, 507,381.60 and 206,543.44

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Solution

The fourth proportional to 367,681.60, 507,381.60 and 206,543.44 is: 285,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,681.60 : 507,381.60 = 206,543.44 : x
  2. Step 2: Convert to fraction form
    367,681.60/507,381.60 = 206,543.44/x
  3. Step 3: Cross multiply
    367,681.60x = 507,381.60 × 206,543.44
  4. Step 4: Simplify right side
    367,681.60x = 104,796,341,056.70
  5. Step 5: Solve for x
    x = 104,796,341,056.70/367,681.60
  6. Step 6: Final answer
    x = 285,019.27

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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.