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Finding the Fourth Proportional to 532,601.56, 734,957.62 and 290,835

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Solution

The fourth proportional to 532,601.56, 734,957.62 and 290,835 is: 401,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,601.56 : 734,957.62 = 290,835 : x
  2. Step 2: Convert to fraction form
    532,601.56/734,957.62 = 290,835/x
  3. Step 3: Cross multiply
    532,601.56x = 734,957.62 × 290,835
  4. Step 4: Simplify right side
    532,601.56x = 213,751,399,412.70
  5. Step 5: Solve for x
    x = 213,751,399,412.70/532,601.56
  6. Step 6: Final answer
    x = 401,334.53

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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.