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Finding the Fourth Proportional to 600,506.40, 828,583.74 and 342,378.48

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Solution

The fourth proportional to 600,506.40, 828,583.74 and 342,378.48 is: 472,416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,506.40 : 828,583.74 = 342,378.48 : x
  2. Step 2: Convert to fraction form
    600,506.40/828,583.74 = 342,378.48/x
  3. Step 3: Cross multiply
    600,506.40x = 828,583.74 × 342,378.48
  4. Step 4: Simplify right side
    600,506.40x = 283,689,241,453.92
  5. Step 5: Solve for x
    x = 283,689,241,453.92/600,506.40
  6. Step 6: Final answer
    x = 472,416.68

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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.