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Finding the Fourth Proportional to 306,827.44, 460,038.12 and 146,926.96

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Solution

The fourth proportional to 306,827.44, 460,038.12 and 146,926.96 is: 220,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,827.44 : 460,038.12 = 146,926.96 : x
  2. Step 2: Convert to fraction form
    306,827.44/460,038.12 = 146,926.96/x
  3. Step 3: Cross multiply
    306,827.44x = 460,038.12 × 146,926.96
  4. Step 4: Simplify right side
    306,827.44x = 67,592,002,455.72
  5. Step 5: Solve for x
    x = 67,592,002,455.72/306,827.44
  6. Step 6: Final answer
    x = 220,293.21

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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.