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Finding the Fourth Proportional to 307,155.88, 423,905.10 and 229,496.77

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Solution

The fourth proportional to 307,155.88, 423,905.10 and 229,496.77 is: 316,727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,155.88 : 423,905.10 = 229,496.77 : x
  2. Step 2: Convert to fraction form
    307,155.88/423,905.10 = 229,496.77/x
  3. Step 3: Cross multiply
    307,155.88x = 423,905.10 × 229,496.77
  4. Step 4: Simplify right side
    307,155.88x = 97,284,851,401.89
  5. Step 5: Solve for x
    x = 97,284,851,401.89/307,155.88
  6. Step 6: Final answer
    x = 316,727.95

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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.