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Finding the Fourth Proportional to 379,485.81, 523,669.86 and 209,709

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Solution

The fourth proportional to 379,485.81, 523,669.86 and 209,709 is: 289,387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,485.81 : 523,669.86 = 209,709 : x
  2. Step 2: Convert to fraction form
    379,485.81/523,669.86 = 209,709/x
  3. Step 3: Cross multiply
    379,485.81x = 523,669.86 × 209,709
  4. Step 4: Simplify right side
    379,485.81x = 109,818,282,670.74
  5. Step 5: Solve for x
    x = 109,818,282,670.74/379,485.81
  6. Step 6: Final answer
    x = 289,387.06

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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.