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Finding the Fourth Proportional to 306,532.64, 459,798.32 and 84,916

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Solution

The fourth proportional to 306,532.64, 459,798.32 and 84,916 is: 127,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,532.64 : 459,798.32 = 84,916 : x
  2. Step 2: Convert to fraction form
    306,532.64/459,798.32 = 84,916/x
  3. Step 3: Cross multiply
    306,532.64x = 459,798.32 × 84,916
  4. Step 4: Simplify right side
    306,532.64x = 39,044,234,141.12
  5. Step 5: Solve for x
    x = 39,044,234,141.12/306,532.64
  6. Step 6: Final answer
    x = 127,373.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.