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Finding the Fourth Proportional to 412,853.60, 577,295.20 and 412,853.60

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Solution

The fourth proportional to 412,853.60, 577,295.20 and 412,853.60 is: 577,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,853.60 : 577,295.20 = 412,853.60 : x
  2. Step 2: Convert to fraction form
    412,853.60/577,295.20 = 412,853.60/x
  3. Step 3: Cross multiply
    412,853.60x = 577,295.20 × 412,853.60
  4. Step 4: Simplify right side
    412,853.60x = 238,338,401,582.72
  5. Step 5: Solve for x
    x = 238,338,401,582.72/412,853.60
  6. Step 6: Final answer
    x = 577,295.20

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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.