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Finding the Fourth Proportional to 594,032.64, 819,763.84 and 325,760

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Solution

The fourth proportional to 594,032.64, 819,763.84 and 325,760 is: 449,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,032.64 : 819,763.84 = 325,760 : x
  2. Step 2: Convert to fraction form
    594,032.64/819,763.84 = 325,760/x
  3. Step 3: Cross multiply
    594,032.64x = 819,763.84 × 325,760
  4. Step 4: Simplify right side
    594,032.64x = 267,046,268,518.40
  5. Step 5: Solve for x
    x = 267,046,268,518.40/594,032.64
  6. Step 6: Final answer
    x = 449,548.14

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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.