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Finding the Fourth Proportional to 429,453.90, 591,671.16 and 332,323.74

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Solution

The fourth proportional to 429,453.90, 591,671.16 and 332,323.74 is: 457,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,453.90 : 591,671.16 = 332,323.74 : x
  2. Step 2: Convert to fraction form
    429,453.90/591,671.16 = 332,323.74/x
  3. Step 3: Cross multiply
    429,453.90x = 591,671.16 × 332,323.74
  4. Step 4: Simplify right side
    429,453.90x = 196,626,372,741.34
  5. Step 5: Solve for x
    x = 196,626,372,741.34/429,453.90
  6. Step 6: Final answer
    x = 457,852.11

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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.