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Finding the Fourth Proportional to 434,175.92, 599,162.72 and 264,410

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Solution

The fourth proportional to 434,175.92, 599,162.72 and 264,410 is: 364,885.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,175.92 : 599,162.72 = 264,410 : x
  2. Step 2: Convert to fraction form
    434,175.92/599,162.72 = 264,410/x
  3. Step 3: Cross multiply
    434,175.92x = 599,162.72 × 264,410
  4. Step 4: Simplify right side
    434,175.92x = 158,424,614,795.20
  5. Step 5: Solve for x
    x = 158,424,614,795.20/434,175.92
  6. Step 6: Final answer
    x = 364,885.77

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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.