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Finding the Fourth Proportional to 533,461.86, 736,188.11 and 291,759.98

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Solution

The fourth proportional to 533,461.86, 736,188.11 and 291,759.98 is: 402,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,461.86 : 736,188.11 = 291,759.98 : x
  2. Step 2: Convert to fraction form
    533,461.86/736,188.11 = 291,759.98/x
  3. Step 3: Cross multiply
    533,461.86x = 736,188.11 × 291,759.98
  4. Step 4: Simplify right side
    533,461.86x = 214,790,228,249.84
  5. Step 5: Solve for x
    x = 214,790,228,249.84/533,461.86
  6. Step 6: Final answer
    x = 402,634.65

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1.5x scale

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.