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Finding the Fourth Proportional to 306,964.77, 460,761.35 and 253,486.35

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Solution

The fourth proportional to 306,964.77, 460,761.35 and 253,486.35 is: 380,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,964.77 : 460,761.35 = 253,486.35 : x
  2. Step 2: Convert to fraction form
    306,964.77/460,761.35 = 253,486.35/x
  3. Step 3: Cross multiply
    306,964.77x = 460,761.35 × 253,486.35
  4. Step 4: Simplify right side
    306,964.77x = 116,796,711,565.14
  5. Step 5: Solve for x
    x = 116,796,711,565.14/306,964.77
  6. Step 6: Final answer
    x = 380,488.98

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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.