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Finding the Fourth Proportional to 415,266.90, 582,948.30 and 415,266.90

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Solution

The fourth proportional to 415,266.90, 582,948.30 and 415,266.90 is: 582,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,266.90 : 582,948.30 = 415,266.90 : x
  2. Step 2: Convert to fraction form
    415,266.90/582,948.30 = 415,266.90/x
  3. Step 3: Cross multiply
    415,266.90x = 582,948.30 × 415,266.90
  4. Step 4: Simplify right side
    415,266.90x = 242,079,133,401.27
  5. Step 5: Solve for x
    x = 242,079,133,401.27/415,266.90
  6. Step 6: Final answer
    x = 582,948.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.