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Finding the Fourth Proportional to 533,137.66, 735,729.92 and 291,421.20

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Solution

The fourth proportional to 533,137.66, 735,729.92 and 291,421.20 is: 402,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,137.66 : 735,729.92 = 291,421.20 : x
  2. Step 2: Convert to fraction form
    533,137.66/735,729.92 = 291,421.20/x
  3. Step 3: Cross multiply
    533,137.66x = 735,729.92 × 291,421.20
  4. Step 4: Simplify right side
    533,137.66x = 214,407,294,705.20
  5. Step 5: Solve for x
    x = 214,407,294,705.20/533,137.66
  6. Step 6: Final answer
    x = 402,161.23

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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.