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Finding the Fourth Proportional to 284,041.68, 391,886 and 188,566.80

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Solution

The fourth proportional to 284,041.68, 391,886 and 188,566.80 is: 260,161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,041.68 : 391,886 = 188,566.80 : x
  2. Step 2: Convert to fraction form
    284,041.68/391,886 = 188,566.80/x
  3. Step 3: Cross multiply
    284,041.68x = 391,886 × 188,566.80
  4. Step 4: Simplify right side
    284,041.68x = 73,896,688,984.80
  5. Step 5: Solve for x
    x = 73,896,688,984.80/284,041.68
  6. Step 6: Final answer
    x = 260,161.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.