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Finding the Fourth Proportional to 459,744.40, 688,304.40 and 446,622.40

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Solution

The fourth proportional to 459,744.40, 688,304.40 and 446,622.40 is: 668,658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,744.40 : 688,304.40 = 446,622.40 : x
  2. Step 2: Convert to fraction form
    459,744.40/688,304.40 = 446,622.40/x
  3. Step 3: Cross multiply
    459,744.40x = 688,304.40 × 446,622.40
  4. Step 4: Simplify right side
    459,744.40x = 307,412,163,058.56
  5. Step 5: Solve for x
    x = 307,412,163,058.56/459,744.40
  6. Step 6: Final answer
    x = 668,658.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.