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Finding the Fourth Proportional to 577,881.25, 866,969.75 and 338,196.98

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Solution

The fourth proportional to 577,881.25, 866,969.75 and 338,196.98 is: 507,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,881.25 : 866,969.75 = 338,196.98 : x
  2. Step 2: Convert to fraction form
    577,881.25/866,969.75 = 338,196.98/x
  3. Step 3: Cross multiply
    577,881.25x = 866,969.75 × 338,196.98
  4. Step 4: Simplify right side
    577,881.25x = 293,206,554,214.27
  5. Step 5: Solve for x
    x = 293,206,554,214.27/577,881.25
  6. Step 6: Final answer
    x = 507,382.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.