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Finding the Fourth Proportional to 533,243.31, 735,878.36 and 291,525.90

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Solution

The fourth proportional to 533,243.31, 735,878.36 and 291,525.90 is: 402,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,243.31 : 735,878.36 = 291,525.90 : x
  2. Step 2: Convert to fraction form
    533,243.31/735,878.36 = 291,525.90/x
  3. Step 3: Cross multiply
    533,243.31x = 735,878.36 × 291,525.90
  4. Step 4: Simplify right side
    533,243.31x = 214,527,601,189.52
  5. Step 5: Solve for x
    x = 214,527,601,189.52/533,243.31
  6. Step 6: Final answer
    x = 402,307.16

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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.