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Finding the Fourth Proportional to 434,861, 600,173.80 and 265,193.54

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Solution

The fourth proportional to 434,861, 600,173.80 and 265,193.54 is: 366,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,861 : 600,173.80 = 265,193.54 : x
  2. Step 2: Convert to fraction form
    434,861/600,173.80 = 265,193.54/x
  3. Step 3: Cross multiply
    434,861x = 600,173.80 × 265,193.54
  4. Step 4: Simplify right side
    434,861x = 159,162,214,637.25
  5. Step 5: Solve for x
    x = 159,162,214,637.25/434,861
  6. Step 6: Final answer
    x = 366,007.10

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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.