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Finding the Fourth Proportional to 409,378.59, 611,189.38 and 312,810.41

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Solution

The fourth proportional to 409,378.59, 611,189.38 and 312,810.41 is: 467,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,378.59 : 611,189.38 = 312,810.41 : x
  2. Step 2: Convert to fraction form
    409,378.59/611,189.38 = 312,810.41/x
  3. Step 3: Cross multiply
    409,378.59x = 611,189.38 × 312,810.41
  4. Step 4: Simplify right side
    409,378.59x = 191,186,402,464.43
  5. Step 5: Solve for x
    x = 191,186,402,464.43/409,378.59
  6. Step 6: Final answer
    x = 467,016.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.