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Finding the Fourth Proportional to 434,072.49, 599,020.51 and 243,085.88

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Solution

The fourth proportional to 434,072.49, 599,020.51 and 243,085.88 is: 335,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,072.49 : 599,020.51 = 243,085.88 : x
  2. Step 2: Convert to fraction form
    434,072.49/599,020.51 = 243,085.88/x
  3. Step 3: Cross multiply
    434,072.49x = 599,020.51 × 243,085.88
  4. Step 4: Simplify right side
    434,072.49x = 145,613,427,811.40
  5. Step 5: Solve for x
    x = 145,613,427,811.40/434,072.49
  6. Step 6: Final answer
    x = 335,458.78

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1.5x scale

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.