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Finding the Fourth Proportional to 600,384.45, 828,440.11 and 342,283.83

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Solution

The fourth proportional to 600,384.45, 828,440.11 and 342,283.83 is: 472,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,384.45 : 828,440.11 = 342,283.83 : x
  2. Step 2: Convert to fraction form
    600,384.45/828,440.11 = 342,283.83/x
  3. Step 3: Cross multiply
    600,384.45x = 828,440.11 × 342,283.83
  4. Step 4: Simplify right side
    600,384.45x = 283,561,649,172.28
  5. Step 5: Solve for x
    x = 283,561,649,172.28/600,384.45
  6. Step 6: Final answer
    x = 472,300.12

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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.