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Finding the Fourth Proportional to 533,149.54, 735,746.40 and 291,433.07

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Solution

The fourth proportional to 533,149.54, 735,746.40 and 291,433.07 is: 402,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,149.54 : 735,746.40 = 291,433.07 : x
  2. Step 2: Convert to fraction form
    533,149.54/735,746.40 = 291,433.07/x
  3. Step 3: Cross multiply
    533,149.54x = 735,746.40 × 291,433.07
  4. Step 4: Simplify right side
    533,149.54x = 214,420,832,093.45
  5. Step 5: Solve for x
    x = 214,420,832,093.45/533,149.54
  6. Step 6: Final answer
    x = 402,177.66

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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.