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Finding the Fourth Proportional to 367,657.92, 507,368.19 and 206,513.05

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Solution

The fourth proportional to 367,657.92, 507,368.19 and 206,513.05 is: 284,988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,657.92 : 507,368.19 = 206,513.05 : x
  2. Step 2: Convert to fraction form
    367,657.92/507,368.19 = 206,513.05/x
  3. Step 3: Cross multiply
    367,657.92x = 507,368.19 × 206,513.05
  4. Step 4: Simplify right side
    367,657.92x = 104,778,152,389.88
  5. Step 5: Solve for x
    x = 104,778,152,389.88/367,657.92
  6. Step 6: Final answer
    x = 284,988.16

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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.