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Finding the Fourth Proportional to 376,457.64, 564,758.70 and 151,840.76

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Solution

The fourth proportional to 376,457.64, 564,758.70 and 151,840.76 is: 227,790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,457.64 : 564,758.70 = 151,840.76 : x
  2. Step 2: Convert to fraction form
    376,457.64/564,758.70 = 151,840.76/x
  3. Step 3: Cross multiply
    376,457.64x = 564,758.70 × 151,840.76
  4. Step 4: Simplify right side
    376,457.64x = 85,753,390,224.61
  5. Step 5: Solve for x
    x = 85,753,390,224.61/376,457.64
  6. Step 6: Final answer
    x = 227,790.28

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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.