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Finding the Fourth Proportional to 415,514.20, 623,271.30 and 257,229.40

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Solution

The fourth proportional to 415,514.20, 623,271.30 and 257,229.40 is: 385,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,514.20 : 623,271.30 = 257,229.40 : x
  2. Step 2: Convert to fraction form
    415,514.20/623,271.30 = 257,229.40/x
  3. Step 3: Cross multiply
    415,514.20x = 623,271.30 × 257,229.40
  4. Step 4: Simplify right side
    415,514.20x = 160,323,702,536.22
  5. Step 5: Solve for x
    x = 160,323,702,536.22/415,514.20
  6. Step 6: Final answer
    x = 385,844.10

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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.