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Finding the Fourth Proportional to 385,733.90, 578,693.24 and 160,969.30

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Solution

The fourth proportional to 385,733.90, 578,693.24 and 160,969.30 is: 241,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,733.90 : 578,693.24 = 160,969.30 : x
  2. Step 2: Convert to fraction form
    385,733.90/578,693.24 = 160,969.30/x
  3. Step 3: Cross multiply
    385,733.90x = 578,693.24 × 160,969.30
  4. Step 4: Simplify right side
    385,733.90x = 93,151,845,757.53
  5. Step 5: Solve for x
    x = 93,151,845,757.53/385,733.90
  6. Step 6: Final answer
    x = 241,492.50

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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.