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Finding the Fourth Proportional to 329,073.64, 493,693.58 and 151,705.20

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Solution

The fourth proportional to 329,073.64, 493,693.58 and 151,705.20 is: 227,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,073.64 : 493,693.58 = 151,705.20 : x
  2. Step 2: Convert to fraction form
    329,073.64/493,693.58 = 151,705.20/x
  3. Step 3: Cross multiply
    329,073.64x = 493,693.58 × 151,705.20
  4. Step 4: Simplify right side
    329,073.64x = 74,895,885,523.23
  5. Step 5: Solve for x
    x = 74,895,885,523.23/329,073.64
  6. Step 6: Final answer
    x = 227,596.13

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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.