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Finding the Fourth Proportional to 705,624.40, 973,845.14 and 419,145.63

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Solution

The fourth proportional to 705,624.40, 973,845.14 and 419,145.63 is: 578,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,624.40 : 973,845.14 = 419,145.63 : x
  2. Step 2: Convert to fraction form
    705,624.40/973,845.14 = 419,145.63/x
  3. Step 3: Cross multiply
    705,624.40x = 973,845.14 × 419,145.63
  4. Step 4: Simplify right side
    705,624.40x = 408,182,934,727.74
  5. Step 5: Solve for x
    x = 408,182,934,727.74/705,624.40
  6. Step 6: Final answer
    x = 578,470.55

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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.