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Finding the Fourth Proportional to 264,294.38, 364,726.43 and 143,435.63

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Solution

The fourth proportional to 264,294.38, 364,726.43 and 143,435.63 is: 197,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,294.38 : 364,726.43 = 143,435.63 : x
  2. Step 2: Convert to fraction form
    264,294.38/364,726.43 = 143,435.63/x
  3. Step 3: Cross multiply
    264,294.38x = 364,726.43 × 143,435.63
  4. Step 4: Simplify right side
    264,294.38x = 52,314,765,264.70
  5. Step 5: Solve for x
    x = 52,314,765,264.70/264,294.38
  6. Step 6: Final answer
    x = 197,941.27

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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.