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Finding the Fourth Proportional to 357,700.80, 535,168.80 and 233,284.80

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Solution

The fourth proportional to 357,700.80, 535,168.80 and 233,284.80 is: 349,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,700.80 : 535,168.80 = 233,284.80 : x
  2. Step 2: Convert to fraction form
    357,700.80/535,168.80 = 233,284.80/x
  3. Step 3: Cross multiply
    357,700.80x = 535,168.80 × 233,284.80
  4. Step 4: Simplify right side
    357,700.80x = 124,846,746,474.24
  5. Step 5: Solve for x
    x = 124,846,746,474.24/357,700.80
  6. Step 6: Final answer
    x = 349,025.63

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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.