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Finding the Fourth Proportional to 434,394.42, 599,464.53 and 264,628.55

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Solution

The fourth proportional to 434,394.42, 599,464.53 and 264,628.55 is: 365,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,394.42 : 599,464.53 = 264,628.55 : x
  2. Step 2: Convert to fraction form
    434,394.42/599,464.53 = 264,628.55/x
  3. Step 3: Cross multiply
    434,394.42x = 599,464.53 × 264,628.55
  4. Step 4: Simplify right side
    434,394.42x = 158,635,426,353.01
  5. Step 5: Solve for x
    x = 158,635,426,353.01/434,394.42
  6. Step 6: Final answer
    x = 365,187.53

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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.