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Finding the Fourth Proportional to 385,180.84, 531,326.82 and 232,114.60

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Solution

The fourth proportional to 385,180.84, 531,326.82 and 232,114.60 is: 320,183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,180.84 : 531,326.82 = 232,114.60 : x
  2. Step 2: Convert to fraction form
    385,180.84/531,326.82 = 232,114.60/x
  3. Step 3: Cross multiply
    385,180.84x = 531,326.82 × 232,114.60
  4. Step 4: Simplify right side
    385,180.84x = 123,328,712,293.57
  5. Step 5: Solve for x
    x = 123,328,712,293.57/385,180.84
  6. Step 6: Final answer
    x = 320,183.92

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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.