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Finding the Fourth Proportional to 310,437.68, 428,329.26 and 181,302.92

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Solution

The fourth proportional to 310,437.68, 428,329.26 and 181,302.92 is: 250,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,437.68 : 428,329.26 = 181,302.92 : x
  2. Step 2: Convert to fraction form
    310,437.68/428,329.26 = 181,302.92/x
  3. Step 3: Cross multiply
    310,437.68x = 428,329.26 × 181,302.92
  4. Step 4: Simplify right side
    310,437.68x = 77,657,345,559.44
  5. Step 5: Solve for x
    x = 77,657,345,559.44/310,437.68
  6. Step 6: Final answer
    x = 250,154.38

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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.