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Finding the Fourth Proportional to 705,422.92, 973,332.18 and 419,039.56

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Solution

The fourth proportional to 705,422.92, 973,332.18 and 419,039.56 is: 578,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,422.92 : 973,332.18 = 419,039.56 : x
  2. Step 2: Convert to fraction form
    705,422.92/973,332.18 = 419,039.56/x
  3. Step 3: Cross multiply
    705,422.92x = 973,332.18 × 419,039.56
  4. Step 4: Simplify right side
    705,422.92x = 407,864,688,441.04
  5. Step 5: Solve for x
    x = 407,864,688,441.04/705,422.92
  6. Step 6: Final answer
    x = 578,184.63

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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.