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Finding the Fourth Proportional to 306,386, 422,812.68 and 172,250.96

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Solution

The fourth proportional to 306,386, 422,812.68 and 172,250.96 is: 237,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,386 : 422,812.68 = 172,250.96 : x
  2. Step 2: Convert to fraction form
    306,386/422,812.68 = 172,250.96/x
  3. Step 3: Cross multiply
    306,386x = 422,812.68 × 172,250.96
  4. Step 4: Simplify right side
    306,386x = 72,829,890,030.17
  5. Step 5: Solve for x
    x = 72,829,890,030.17/306,386
  6. Step 6: Final answer
    x = 237,706.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.