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Finding the Fourth Proportional to 589,670.82, 813,748.14 and 335,035.98

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Solution

The fourth proportional to 589,670.82, 813,748.14 and 335,035.98 is: 462,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,670.82 : 813,748.14 = 335,035.98 : x
  2. Step 2: Convert to fraction form
    589,670.82/813,748.14 = 335,035.98/x
  3. Step 3: Cross multiply
    589,670.82x = 813,748.14 × 335,035.98
  4. Step 4: Simplify right side
    589,670.82x = 272,634,905,558.08
  5. Step 5: Solve for x
    x = 272,634,905,558.08/589,670.82
  6. Step 6: Final answer
    x = 462,351.02

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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.