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Finding the Fourth Proportional to 355,330.55, 532,844.10 and 205,674.14

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Solution

The fourth proportional to 355,330.55, 532,844.10 and 205,674.14 is: 308,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,330.55 : 532,844.10 = 205,674.14 : x
  2. Step 2: Convert to fraction form
    355,330.55/532,844.10 = 205,674.14/x
  3. Step 3: Cross multiply
    355,330.55x = 532,844.10 × 205,674.14
  4. Step 4: Simplify right side
    355,330.55x = 109,592,249,777.97
  5. Step 5: Solve for x
    x = 109,592,249,777.97/355,330.55
  6. Step 6: Final answer
    x = 308,423.38

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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.