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Finding the Fourth Proportional to 492,055.10, 738,082.65 and 314,762.30

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Solution

The fourth proportional to 492,055.10, 738,082.65 and 314,762.30 is: 472,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,055.10 : 738,082.65 = 314,762.30 : x
  2. Step 2: Convert to fraction form
    492,055.10/738,082.65 = 314,762.30/x
  3. Step 3: Cross multiply
    492,055.10x = 738,082.65 × 314,762.30
  4. Step 4: Simplify right side
    492,055.10x = 232,320,592,504.10
  5. Step 5: Solve for x
    x = 232,320,592,504.10/492,055.10
  6. Step 6: Final answer
    x = 472,143.45

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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.