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Finding the Fourth Proportional to 296,509.77, 409,158.33 and 173,989.49

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Solution

The fourth proportional to 296,509.77, 409,158.33 and 173,989.49 is: 240,090.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,509.77 : 409,158.33 = 173,989.49 : x
  2. Step 2: Convert to fraction form
    296,509.77/409,158.33 = 173,989.49/x
  3. Step 3: Cross multiply
    296,509.77x = 409,158.33 × 173,989.49
  4. Step 4: Simplify right side
    296,509.77x = 71,189,249,165.95
  5. Step 5: Solve for x
    x = 71,189,249,165.95/296,509.77
  6. Step 6: Final answer
    x = 240,090.74

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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.