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Finding the Fourth Proportional to 357,701.80, 535,170.30 and 233,285.80

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Solution

The fourth proportional to 357,701.80, 535,170.30 and 233,285.80 is: 349,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,701.80 : 535,170.30 = 233,285.80 : x
  2. Step 2: Convert to fraction form
    357,701.80/535,170.30 = 233,285.80/x
  3. Step 3: Cross multiply
    357,701.80x = 535,170.30 × 233,285.80
  4. Step 4: Simplify right side
    357,701.80x = 124,847,631,571.74
  5. Step 5: Solve for x
    x = 124,847,631,571.74/357,701.80
  6. Step 6: Final answer
    x = 349,027.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.