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Finding the Fourth Proportional to 533,299.32, 735,963.66 and 291,596.94

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Solution

The fourth proportional to 533,299.32, 735,963.66 and 291,596.94 is: 402,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,299.32 : 735,963.66 = 291,596.94 : x
  2. Step 2: Convert to fraction form
    533,299.32/735,963.66 = 291,596.94/x
  3. Step 3: Cross multiply
    533,299.32x = 735,963.66 × 291,596.94
  4. Step 4: Simplify right side
    533,299.32x = 214,604,751,207.20
  5. Step 5: Solve for x
    x = 214,604,751,207.20/533,299.32
  6. Step 6: Final answer
    x = 402,409.57

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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.