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Finding the Fourth Proportional to 415,266.90, 622,900.35 and 411,330.30

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Solution

The fourth proportional to 415,266.90, 622,900.35 and 411,330.30 is: 616,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,266.90 : 622,900.35 = 411,330.30 : x
  2. Step 2: Convert to fraction form
    415,266.90/622,900.35 = 411,330.30/x
  3. Step 3: Cross multiply
    415,266.90x = 622,900.35 × 411,330.30
  4. Step 4: Simplify right side
    415,266.90x = 256,217,787,835.61
  5. Step 5: Solve for x
    x = 256,217,787,835.61/415,266.90
  6. Step 6: Final answer
    x = 616,995.45

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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.