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Finding the Fourth Proportional to 532,596.56, 734,950.72 and 290,830

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Solution

The fourth proportional to 532,596.56, 734,950.72 and 290,830 is: 401,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,596.56 : 734,950.72 = 290,830 : x
  2. Step 2: Convert to fraction form
    532,596.56/734,950.72 = 290,830/x
  3. Step 3: Cross multiply
    532,596.56x = 734,950.72 × 290,830
  4. Step 4: Simplify right side
    532,596.56x = 213,745,717,897.60
  5. Step 5: Solve for x
    x = 213,745,717,897.60/532,596.56
  6. Step 6: Final answer
    x = 401,327.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.