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Finding the Fourth Proportional to 705,622.68, 973,664.82 and 419,038.20

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Solution

The fourth proportional to 705,622.68, 973,664.82 and 419,038.20 is: 578,216.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,622.68 : 973,664.82 = 419,038.20 : x
  2. Step 2: Convert to fraction form
    705,622.68/973,664.82 = 419,038.20/x
  3. Step 3: Cross multiply
    705,622.68x = 973,664.82 × 419,038.20
  4. Step 4: Simplify right side
    705,622.68x = 408,002,753,576.12
  5. Step 5: Solve for x
    x = 408,002,753,576.12/705,622.68
  6. Step 6: Final answer
    x = 578,216.61

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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.