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Finding the Fourth Proportional to 306,952.80, 460,429.20 and 293,174.70

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Solution

The fourth proportional to 306,952.80, 460,429.20 and 293,174.70 is: 439,762.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,952.80 : 460,429.20 = 293,174.70 : x
  2. Step 2: Convert to fraction form
    306,952.80/460,429.20 = 293,174.70/x
  3. Step 3: Cross multiply
    306,952.80x = 460,429.20 × 293,174.70
  4. Step 4: Simplify right side
    306,952.80x = 134,986,192,581.24
  5. Step 5: Solve for x
    x = 134,986,192,581.24/306,952.80
  6. Step 6: Final answer
    x = 439,762.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.