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Finding the Fourth Proportional to 415,271.40, 622,907.10 and 411,334.80

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Solution

The fourth proportional to 415,271.40, 622,907.10 and 411,334.80 is: 617,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,271.40 : 622,907.10 = 411,334.80 : x
  2. Step 2: Convert to fraction form
    415,271.40/622,907.10 = 411,334.80/x
  3. Step 3: Cross multiply
    415,271.40x = 622,907.10 × 411,334.80
  4. Step 4: Simplify right side
    415,271.40x = 256,223,367,397.08
  5. Step 5: Solve for x
    x = 256,223,367,397.08/415,271.40
  6. Step 6: Final answer
    x = 617,002.20

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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.