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Finding the Fourth Proportional to 413,428.56, 570,665.16 and 267,977.68

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Solution

The fourth proportional to 413,428.56, 570,665.16 and 267,977.68 is: 369,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,428.56 : 570,665.16 = 267,977.68 : x
  2. Step 2: Convert to fraction form
    413,428.56/570,665.16 = 267,977.68/x
  3. Step 3: Cross multiply
    413,428.56x = 570,665.16 × 267,977.68
  4. Step 4: Simplify right side
    413,428.56x = 152,925,525,633.63
  5. Step 5: Solve for x
    x = 152,925,525,633.63/413,428.56
  6. Step 6: Final answer
    x = 369,895.89

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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.