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Finding the Fourth Proportional to 342,877.20, 473,226.60 and 205,047.12

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Solution

The fourth proportional to 342,877.20, 473,226.60 and 205,047.12 is: 282,998.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,877.20 : 473,226.60 = 205,047.12 : x
  2. Step 2: Convert to fraction form
    342,877.20/473,226.60 = 205,047.12/x
  3. Step 3: Cross multiply
    342,877.20x = 473,226.60 × 205,047.12
  4. Step 4: Simplify right side
    342,877.20x = 97,033,751,437.39
  5. Step 5: Solve for x
    x = 97,033,751,437.39/342,877.20
  6. Step 6: Final answer
    x = 282,998.55

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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.