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Finding the Fourth Proportional to 355,233.20, 532,390.49 and 265,784.90

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Solution

The fourth proportional to 355,233.20, 532,390.49 and 265,784.90 is: 398,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,233.20 : 532,390.49 = 265,784.90 : x
  2. Step 2: Convert to fraction form
    355,233.20/532,390.49 = 265,784.90/x
  3. Step 3: Cross multiply
    355,233.20x = 532,390.49 × 265,784.90
  4. Step 4: Simplify right side
    355,233.20x = 141,501,353,145.60
  5. Step 5: Solve for x
    x = 141,501,353,145.60/355,233.20
  6. Step 6: Final answer
    x = 398,333.70

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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.