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Finding the Fourth Proportional to 284,965.74, 427,492.35 and 97,933.50

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Solution

The fourth proportional to 284,965.74, 427,492.35 and 97,933.50 is: 146,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,965.74 : 427,492.35 = 97,933.50 : x
  2. Step 2: Convert to fraction form
    284,965.74/427,492.35 = 97,933.50/x
  3. Step 3: Cross multiply
    284,965.74x = 427,492.35 × 97,933.50
  4. Step 4: Simplify right side
    284,965.74x = 41,865,822,058.73
  5. Step 5: Solve for x
    x = 41,865,822,058.73/284,965.74
  6. Step 6: Final answer
    x = 146,915.28

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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.