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Finding the Fourth Proportional to 492,428.10, 738,642.15 and 256,232.10

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Solution

The fourth proportional to 492,428.10, 738,642.15 and 256,232.10 is: 384,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,428.10 : 738,642.15 = 256,232.10 : x
  2. Step 2: Convert to fraction form
    492,428.10/738,642.15 = 256,232.10/x
  3. Step 3: Cross multiply
    492,428.10x = 738,642.15 × 256,232.10
  4. Step 4: Simplify right side
    492,428.10x = 189,263,829,243.02
  5. Step 5: Solve for x
    x = 189,263,829,243.02/492,428.10
  6. Step 6: Final answer
    x = 384,348.15

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Similar ratio
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1.5x scale

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.