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Finding the Fourth Proportional to 705,800.82, 973,895.49 and 419,313.54

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Solution

The fourth proportional to 705,800.82, 973,895.49 and 419,313.54 is: 578,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,800.82 : 973,895.49 = 419,313.54 : x
  2. Step 2: Convert to fraction form
    705,800.82/973,895.49 = 419,313.54/x
  3. Step 3: Cross multiply
    705,800.82x = 973,895.49 × 419,313.54
  4. Step 4: Simplify right side
    705,800.82x = 408,367,565,501.94
  5. Step 5: Solve for x
    x = 408,367,565,501.94/705,800.82
  6. Step 6: Final answer
    x = 578,587.55

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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.