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Finding the Fourth Proportional to 492,117.40, 738,176.10 and 305,234.20

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Solution

The fourth proportional to 492,117.40, 738,176.10 and 305,234.20 is: 457,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,117.40 : 738,176.10 = 305,234.20 : x
  2. Step 2: Convert to fraction form
    492,117.40/738,176.10 = 305,234.20/x
  3. Step 3: Cross multiply
    492,117.40x = 738,176.10 × 305,234.20
  4. Step 4: Simplify right side
    492,117.40x = 225,316,591,342.62
  5. Step 5: Solve for x
    x = 225,316,591,342.62/492,117.40
  6. Step 6: Final answer
    x = 457,851.30

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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.