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Finding the Fourth Proportional to 331,032, 456,824.16 and 180,130.08

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Solution

The fourth proportional to 331,032, 456,824.16 and 180,130.08 is: 248,579.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,032 : 456,824.16 = 180,130.08 : x
  2. Step 2: Convert to fraction form
    331,032/456,824.16 = 180,130.08/x
  3. Step 3: Cross multiply
    331,032x = 456,824.16 × 180,130.08
  4. Step 4: Simplify right side
    331,032x = 82,287,772,486.73
  5. Step 5: Solve for x
    x = 82,287,772,486.73/331,032
  6. Step 6: Final answer
    x = 248,579.51

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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.