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Finding the Fourth Proportional to 412,674.60, 578,138.10 and 412,674.60

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Solution

The fourth proportional to 412,674.60, 578,138.10 and 412,674.60 is: 578,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,674.60 : 578,138.10 = 412,674.60 : x
  2. Step 2: Convert to fraction form
    412,674.60/578,138.10 = 412,674.60/x
  3. Step 3: Cross multiply
    412,674.60x = 578,138.10 × 412,674.60
  4. Step 4: Simplify right side
    412,674.60x = 238,582,909,162.26
  5. Step 5: Solve for x
    x = 238,582,909,162.26/412,674.60
  6. Step 6: Final answer
    x = 578,138.10

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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.