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Finding the Fourth Proportional to 705,741.57, 973,813.73 and 419,254.29

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Solution

The fourth proportional to 705,741.57, 973,813.73 and 419,254.29 is: 578,505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,741.57 : 973,813.73 = 419,254.29 : x
  2. Step 2: Convert to fraction form
    705,741.57/973,813.73 = 419,254.29/x
  3. Step 3: Cross multiply
    705,741.57x = 973,813.73 × 419,254.29
  4. Step 4: Simplify right side
    705,741.57x = 408,275,581,867.13
  5. Step 5: Solve for x
    x = 408,275,581,867.13/705,741.57
  6. Step 6: Final answer
    x = 578,505.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.