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Finding the Fourth Proportional to 472,100.96, 708,676.32 and 464,752.64

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Solution

The fourth proportional to 472,100.96, 708,676.32 and 464,752.64 is: 697,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,100.96 : 708,676.32 = 464,752.64 : x
  2. Step 2: Convert to fraction form
    472,100.96/708,676.32 = 464,752.64/x
  3. Step 3: Cross multiply
    472,100.96x = 708,676.32 × 464,752.64
  4. Step 4: Simplify right side
    472,100.96x = 329,359,190,625.49
  5. Step 5: Solve for x
    x = 329,359,190,625.49/472,100.96
  6. Step 6: Final answer
    x = 697,645.67

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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.