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Finding the Fourth Proportional to 306,809.24, 460,234.71 and 104,322.87

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Solution

The fourth proportional to 306,809.24, 460,234.71 and 104,322.87 is: 156,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,809.24 : 460,234.71 = 104,322.87 : x
  2. Step 2: Convert to fraction form
    306,809.24/460,234.71 = 104,322.87/x
  3. Step 3: Cross multiply
    306,809.24x = 460,234.71 × 104,322.87
  4. Step 4: Simplify right side
    306,809.24x = 48,013,005,820.82
  5. Step 5: Solve for x
    x = 48,013,005,820.82/306,809.24
  6. Step 6: Final answer
    x = 156,491.40

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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.