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Finding the Fourth Proportional to 533,176.98, 735,782.54 and 291,459.62

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Solution

The fourth proportional to 533,176.98, 735,782.54 and 291,459.62 is: 402,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,176.98 : 735,782.54 = 291,459.62 : x
  2. Step 2: Convert to fraction form
    533,176.98/735,782.54 = 291,459.62/x
  3. Step 3: Cross multiply
    533,176.98x = 735,782.54 × 291,459.62
  4. Step 4: Simplify right side
    533,176.98x = 214,450,899,511.04
  5. Step 5: Solve for x
    x = 214,450,899,511.04/533,176.98
  6. Step 6: Final answer
    x = 402,213.35

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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.