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Finding the Fourth Proportional to 492,051.10, 738,076.65 and 314,758.30

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Solution

The fourth proportional to 492,051.10, 738,076.65 and 314,758.30 is: 472,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,051.10 : 738,076.65 = 314,758.30 : x
  2. Step 2: Convert to fraction form
    492,051.10/738,076.65 = 314,758.30/x
  3. Step 3: Cross multiply
    492,051.10x = 738,076.65 × 314,758.30
  4. Step 4: Simplify right side
    492,051.10x = 232,315,751,623.70
  5. Step 5: Solve for x
    x = 232,315,751,623.70/492,051.10
  6. Step 6: Final answer
    x = 472,137.45

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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.