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Finding the Fourth Proportional to 410,966.37, 566,973.40 and 257,915.25

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Solution

The fourth proportional to 410,966.37, 566,973.40 and 257,915.25 is: 355,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,966.37 : 566,973.40 = 257,915.25 : x
  2. Step 2: Convert to fraction form
    410,966.37/566,973.40 = 257,915.25/x
  3. Step 3: Cross multiply
    410,966.37x = 566,973.40 × 257,915.25
  4. Step 4: Simplify right side
    410,966.37x = 146,231,086,204.35
  5. Step 5: Solve for x
    x = 146,231,086,204.35/410,966.37
  6. Step 6: Final answer
    x = 355,822.51

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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.