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Finding the Fourth Proportional to 600,138.44, 828,492.20 and 463,864.42

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Solution

The fourth proportional to 600,138.44, 828,492.20 and 463,864.42 is: 640,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,138.44 : 828,492.20 = 463,864.42 : x
  2. Step 2: Convert to fraction form
    600,138.44/828,492.20 = 463,864.42/x
  3. Step 3: Cross multiply
    600,138.44x = 828,492.20 × 463,864.42
  4. Step 4: Simplify right side
    600,138.44x = 384,308,053,827.52
  5. Step 5: Solve for x
    x = 384,308,053,827.52/600,138.44
  6. Step 6: Final answer
    x = 640,365.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.