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Finding the Fourth Proportional to 434,159.28, 599,269.86 and 264,477.24

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Solution

The fourth proportional to 434,159.28, 599,269.86 and 264,477.24 is: 365,057.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,159.28 : 599,269.86 = 264,477.24 : x
  2. Step 2: Convert to fraction form
    434,159.28/599,269.86 = 264,477.24/x
  3. Step 3: Cross multiply
    434,159.28x = 599,269.86 × 264,477.24
  4. Step 4: Simplify right side
    434,159.28x = 158,493,238,587.99
  5. Step 5: Solve for x
    x = 158,493,238,587.99/434,159.28
  6. Step 6: Final answer
    x = 365,057.82

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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.