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Finding the Fourth Proportional to 737,144.73, 1,017,258.80 and 414,857.13

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Solution

The fourth proportional to 737,144.73, 1,017,258.80 and 414,857.13 is: 572,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,144.73 : 1,017,258.80 = 414,857.13 : x
  2. Step 2: Convert to fraction form
    737,144.73/1,017,258.80 = 414,857.13/x
  3. Step 3: Cross multiply
    737,144.73x = 1,017,258.80 × 414,857.13
  4. Step 4: Simplify right side
    737,144.73x = 422,017,066,235.24
  5. Step 5: Solve for x
    x = 422,017,066,235.24/737,144.73
  6. Step 6: Final answer
    x = 572,502.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.