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Finding the Fourth Proportional to 338,407.80, 507,611.70 and 310,414.20

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Solution

The fourth proportional to 338,407.80, 507,611.70 and 310,414.20 is: 465,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,407.80 : 507,611.70 = 310,414.20 : x
  2. Step 2: Convert to fraction form
    338,407.80/507,611.70 = 310,414.20/x
  3. Step 3: Cross multiply
    338,407.80x = 507,611.70 × 310,414.20
  4. Step 4: Simplify right side
    338,407.80x = 157,569,879,766.14
  5. Step 5: Solve for x
    x = 157,569,879,766.14/338,407.80
  6. Step 6: Final answer
    x = 465,621.30

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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.