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Finding the Fourth Proportional to 466,117.68, 697,958.20 and 437,706.69

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Solution

The fourth proportional to 466,117.68, 697,958.20 and 437,706.69 is: 655,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,117.68 : 697,958.20 = 437,706.69 : x
  2. Step 2: Convert to fraction form
    466,117.68/697,958.20 = 437,706.69/x
  3. Step 3: Cross multiply
    466,117.68x = 697,958.20 × 437,706.69
  4. Step 4: Simplify right side
    466,117.68x = 305,500,973,480.36
  5. Step 5: Solve for x
    x = 305,500,973,480.36/466,117.68
  6. Step 6: Final answer
    x = 655,415.97

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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.