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Finding the Fourth Proportional to 355,216.19, 532,365.01 and 265,767.89

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Solution

The fourth proportional to 355,216.19, 532,365.01 and 265,767.89 is: 398,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,216.19 : 532,365.01 = 265,767.89 : x
  2. Step 2: Convert to fraction form
    355,216.19/532,365.01 = 265,767.89/x
  3. Step 3: Cross multiply
    355,216.19x = 532,365.01 × 265,767.89
  4. Step 4: Simplify right side
    355,216.19x = 141,485,522,091.28
  5. Step 5: Solve for x
    x = 141,485,522,091.28/355,216.19
  6. Step 6: Final answer
    x = 398,308.21

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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.