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Finding the Fourth Proportional to 533,173.89, 735,779.80 and 291,457.44

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Solution

The fourth proportional to 533,173.89, 735,779.80 and 291,457.44 is: 402,211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,173.89 : 735,779.80 = 291,457.44 : x
  2. Step 2: Convert to fraction form
    533,173.89/735,779.80 = 291,457.44/x
  3. Step 3: Cross multiply
    533,173.89x = 735,779.80 × 291,457.44
  4. Step 4: Simplify right side
    533,173.89x = 214,448,497,276.03
  5. Step 5: Solve for x
    x = 214,448,497,276.03/533,173.89
  6. Step 6: Final answer
    x = 402,211.17

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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.