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Finding the Fourth Proportional to 474,620.40, 712,430.91 and 463,909.59

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Solution

The fourth proportional to 474,620.40, 712,430.91 and 463,909.59 is: 696,353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,620.40 : 712,430.91 = 463,909.59 : x
  2. Step 2: Convert to fraction form
    474,620.40/712,430.91 = 463,909.59/x
  3. Step 3: Cross multiply
    474,620.40x = 712,430.91 × 463,909.59
  4. Step 4: Simplify right side
    474,620.40x = 330,503,531,361.43
  5. Step 5: Solve for x
    x = 330,503,531,361.43/474,620.40
  6. Step 6: Final answer
    x = 696,353.40

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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.