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Finding the Fourth Proportional to 415,465.20, 623,197.80 and 257,180.40

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Solution

The fourth proportional to 415,465.20, 623,197.80 and 257,180.40 is: 385,770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,465.20 : 623,197.80 = 257,180.40 : x
  2. Step 2: Convert to fraction form
    415,465.20/623,197.80 = 257,180.40/x
  3. Step 3: Cross multiply
    415,465.20x = 623,197.80 × 257,180.40
  4. Step 4: Simplify right side
    415,465.20x = 160,274,259,483.12
  5. Step 5: Solve for x
    x = 160,274,259,483.12/415,465.20
  6. Step 6: Final answer
    x = 385,770.60

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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.