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Finding the Fourth Proportional to 385,733.65, 578,692.86 and 160,969.05

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Solution

The fourth proportional to 385,733.65, 578,692.86 and 160,969.05 is: 241,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,733.65 : 578,692.86 = 160,969.05 : x
  2. Step 2: Convert to fraction form
    385,733.65/578,692.86 = 160,969.05/x
  3. Step 3: Cross multiply
    385,733.65x = 578,692.86 × 160,969.05
  4. Step 4: Simplify right side
    385,733.65x = 93,151,639,915.98
  5. Step 5: Solve for x
    x = 93,151,639,915.98/385,733.65
  6. Step 6: Final answer
    x = 241,492.13

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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.