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Finding the Fourth Proportional to 415,284.40, 582,972.80 and 415,284.40

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Solution

The fourth proportional to 415,284.40, 582,972.80 and 415,284.40 is: 582,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,284.40 : 582,972.80 = 415,284.40 : x
  2. Step 2: Convert to fraction form
    415,284.40/582,972.80 = 415,284.40/x
  3. Step 3: Cross multiply
    415,284.40x = 582,972.80 × 415,284.40
  4. Step 4: Simplify right side
    415,284.40x = 242,099,509,464.32
  5. Step 5: Solve for x
    x = 242,099,509,464.32/415,284.40
  6. Step 6: Final answer
    x = 582,972.80

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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.