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Finding the Fourth Proportional to 661,384.41, 912,904.71 and 431,976.75

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Solution

The fourth proportional to 661,384.41, 912,904.71 and 431,976.75 is: 596,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,384.41 : 912,904.71 = 431,976.75 : x
  2. Step 2: Convert to fraction form
    661,384.41/912,904.71 = 431,976.75/x
  3. Step 3: Cross multiply
    661,384.41x = 912,904.71 × 431,976.75
  4. Step 4: Simplify right side
    661,384.41x = 394,353,609,685.49
  5. Step 5: Solve for x
    x = 394,353,609,685.49/661,384.41
  6. Step 6: Final answer
    x = 596,254.77

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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.